diff --git a/jaxtyping/__init__.py b/jaxtyping/__init__.py
index 2c3fd73..c6cc612 100644
--- a/jaxtyping/__init__.py
+++ b/jaxtyping/__init__.py
@@ -19,6 +19,7 @@
 
 import importlib.metadata
 import typing
+import warnings
 
 # First import some things as normal
 from ._array_types import (
@@ -196,4 +197,20 @@ elif has_jax:
 del has_jax
 
 
+check_equinox_version = True  # easy-to-replace line with copybara
+if check_equinox_version:
+    try:
+        eqx_version = importlib.metadata.version("equinox")
+    except importlib.metadata.PackageNotFoundError:
+        pass
+    else:
+        major, minor, patch = eqx_version.split(".")
+        equinox_version = (int(major), int(minor), int(patch))
+        if equinox_version < (0, 11, 0):
+            warnings.warn(
+                "jaxtyping version >=0.2.23 should be used with Equinox version "
+                ">=0.11.1"
+            )
+
+
 __version__ = importlib.metadata.version("jaxtyping")
diff --git a/jaxtyping/_decorator.py b/jaxtyping/_decorator.py
index a0c4f13..40a35d7 100644
--- a/jaxtyping/_decorator.py
+++ b/jaxtyping/_decorator.py
@@ -23,6 +23,7 @@ import inspect
 import threading
 import types
 import weakref
+from typing import get_args, get_origin
 
 
 try:
@@ -72,7 +73,7 @@ def jaxtyped(fn):
     then the old one is returned to.
 
     For example, this means you could leave off the `@jaxtyped` decorator to enforce
-    that this function use the same axes sizes as the function it was called from.
+    that this function use the same axis sizes as the function it was called from.
 
     Likewise, this means you can use `isinstance` checks inside a function body
     and have them contribute to the same collection of consistency checks performed
@@ -134,7 +135,59 @@ def jaxtyped(fn):
         return wrapped_fn
 
 
+@jaxtyped
+def _check_dataclass_annotations(self, typechecker):
+    for field in dataclasses.fields(self):
+        for kls in self.__class__.__mro__:
+            try:
+                annotation = kls.__annotations__[field.name]
+            except KeyError:
+                pass
+            else:
+                break
+        else:
+            raise TypeError
+        if isinstance(annotation, str):
+            # Don't support stringified annotations. These are basically impossible to
+            # resolve correctly, so just skip them.
+            # This does mean that annotations like `type["Foo"]` will just fail. There
+            # doesn't seem to be any way to even detect a partially-stringified
+            # annotation.
+            continue
+        if get_origin(annotation) is type:
+            args = get_args(annotation)
+            if len(args) == 1 and isinstance(args[0], str):
+                # We also special-case this one kind of partially-stringified type
+                # annotation, so as to support Equinox <v0.11.1.
+                # This was fixed in Equinox in
+                # https://github.com/patrick-kidger/equinox/pull/543
+                continue
+        try:
+            value = getattr(self, field.name)
+        except AttributeError:
+            continue  # allow uninitialised fields, which are allowed on dataclasses
+
+        @typechecker
+        def typecheck(x: annotation):
+            pass
+
+        typecheck(value)
+
+
 def _jaxtyped_typechecker(typechecker):
+    """A decorator added by the import hook to all classes. Only affects dataclasses.
+
+    Will be called as
+    ```
+    @_jaxtyped_typechecker(beartype.beartype)
+    @dataclasses.dataclass
+    class SomeDataclass:
+        ...
+    ```
+
+    After initialisation, this will check that all fields of the dataclass match their
+    specified type annotation.
+    """
     # typechecker is expected to probably be either `typeguard.typechecked`, or
     # `beartype.beartype`, or `None`.
 
@@ -144,8 +197,32 @@ def _jaxtyped_typechecker(typechecker):
     def _wrapper(kls):
         assert inspect.isclass(kls)
         if dataclasses.is_dataclass(kls):
-            init = jaxtyped(typechecker(kls.__init__))
-            kls.__init__ = init
+            # This does not check that the arguments passed to `__init__` match the
+            # type annotations. There may be a custom user `__init__`, or a
+            # dataclass-generated `__init__` used alongside
+            # `equinox.field(converter=...)`
+
+            init = kls.__init__
+
+            @ft.wraps(init)
+            def __init__(self, *args, **kwargs):
+                init(self, *args, **kwargs)
+                # `kls.__init__` is late-binding to the `__init__` function that we're
+                # in now. (Or to someone else's monkey-patch.) Either way, this checks
+                # that we're in the "top-level" `__init__`, and not one that is being
+                # called via `super()`. We don't want to trigger too early, before all
+                # fields have been assigned.
+                #
+                # We're not checking `if self.__class__ is kls` because Equinox replaces
+                # the with a defrozen version of itself during `__init__`, so the check
+                # wouldn't trigger.
+                #
+                # We're not doing this check by adding it to the end of the metaclass
+                # `__call__`, because Python doesn't allow you monkey-patch metaclasses.
+                if self.__class__.__init__ is kls.__init__:
+                    _check_dataclass_annotations(self, typechecker)
+
+            kls.__init__ = __init__
         return kls
 
     return _wrapper
diff --git a/jaxtyping/_import_hook.py b/jaxtyping/_import_hook.py
index 492b336..ebe89e9 100644
--- a/jaxtyping/_import_hook.py
+++ b/jaxtyping/_import_hook.py
@@ -326,8 +326,8 @@ def install_import_hook(modules: Union[str, Sequence[str]], typechecker: Optiona
         install_import_hook(["foo", "bar.baz"], ...)
         ```
 
-    The import hook will automatically decorate all functions, and the `__init__` method
-    of dataclasses.
+    The import hook will automatically decorate all functions, and check the attributes
+    assigned to dataclasses.
 
     If the function already has any decorators on it, then both the `@jaxtyped` and the
     typechecker decorators will get added at the bottom of the decorator list, e.g.
@@ -401,6 +401,28 @@ def install_import_hook(modules: Union[str, Sequence[str]], typechecker: Optiona
 
         (This is the author's preferred approach to performing runtime type-checking
         with jaxtyping!)
+
+    !!! warning
+
+        Stringified dataclass annotations, e.g.
+        ```python
+        @dataclass()
+        class Foo:
+            x: "int"
+        ```
+        will be silently skipped without checking them. This is because these are
+        essentially impossible to resolve at runtime. Such stringified annotations
+        typically occur either when using them for forward references, or when using
+        `from __future__ import annotations`. (You should never use the latter, it is
+        largely incompatible with runtime type checking.)
+
+        Partially stringified dataclass annotations, e.g.
+        ```python
+        @dataclass()
+        class Foo:
+            x: tuple["int"]
+        ```
+        will likely raise an error, and must not be used at all.
     """  # noqa: E501
 
     if isinstance(modules, str):
diff --git a/test/import_hook_tester.py b/test/import_hook_tester.py
index e9f4369..b3dc7cc 100644
--- a/test/import_hook_tester.py
+++ b/test/import_hook_tester.py
@@ -25,10 +25,12 @@ import pytest
 from helpers import ParamError, ReturnError
 
 import jaxtyping
-from jaxtyping import Float32
+from jaxtyping import Float32, Int
 
 
+#
 # Test that functions get checked
+#
 
 
 def g(x: Float32[jnp.ndarray, " b"]):
@@ -39,21 +41,101 @@ g(jnp.array([1.0]))
 with pytest.raises(ParamError):
     g(jnp.array(1))
 
+
+#
 # Test that Equinox modules get checked
+#
 
 
-class M(eqx.Module):
+# Dataclass `__init__`, no converter
+class Mod1(eqx.Module):
     foo: int
     bar: Float32[jnp.ndarray, " a"]
 
 
-M(1, jnp.array([1.0]))
+Mod1(1, jnp.array([1.0]))
 with pytest.raises(ParamError):
-    M(1.0, jnp.array([1.0]))
+    Mod1(1.0, jnp.array([1.0]))
 with pytest.raises(ParamError):
-    M(1, jnp.array(1.0))
+    Mod1(1, jnp.array(1.0))
 
+
+# Dataclass `__init__`, converter
+class Mod2(eqx.Module):
+    a: jnp.ndarray = eqx.field(converter=jnp.asarray)
+
+
+Mod2(1)  # This will fail unless we run typechecking after conversion
+
+
+class BadMod2(eqx.Module):
+    a: jnp.ndarray = eqx.field(converter=lambda x: x)
+
+
+with pytest.raises(ParamError):
+    BadMod2(1)
+with pytest.raises(ParamError):
+    BadMod2("asdf")
+
+
+# Custom `__init__`, no converter
+class Mod3(eqx.Module):
+    foo: int
+    bar: Float32[jnp.ndarray, " a"]
+
+    def __init__(self, foo: str, bar: Float32[jnp.ndarray, " a"]):
+        self.foo = int(foo)
+        self.bar = bar
+
+
+Mod3("1", jnp.array([1.0]))
+with pytest.raises(ParamError):
+    Mod3(1, jnp.array([1.0]))
+with pytest.raises(ParamError):
+    Mod3("1", jnp.array(1.0))
+
+
+# Custom `__init__`, converter
+class Mod4(eqx.Module):
+    a: Int[jnp.ndarray, ""] = eqx.field(converter=jnp.asarray)
+
+    def __init__(self, a: str):
+        self.a = int(a)
+
+
+Mod4("1")  # This will fail unless we run typechecking after conversion
+
+
+# Custom `__post_init__`, no converter
+class Mod5(eqx.Module):
+    foo: int
+    bar: Float32[jnp.ndarray, " a"]
+
+    def __post_init__(self):
+        pass
+
+
+Mod5(1, jnp.array([1.0]))
+with pytest.raises(ParamError):
+    Mod5(1.0, jnp.array([1.0]))
+with pytest.raises(ParamError):
+    Mod5(1, jnp.array(1.0))
+
+
+# Dataclass `__init__`, converter
+class Mod6(eqx.Module):
+    a: jnp.ndarray = eqx.field(converter=jnp.asarray)
+
+    def __post_init__(self):
+        pass
+
+
+Mod6(1)  # This will fail unless we run typechecking after conversion
+
+
+#
 # Test that dataclasses get checked
+#
 
 
 @dataclasses.dataclass
@@ -68,7 +150,10 @@ with pytest.raises(ParamError):
 with pytest.raises(ParamError):
     D(1, jnp.array(1.0))
 
+
+#
 # Test that methods get checked
+#
 
 
 class N(eqx.Module):
@@ -93,17 +178,56 @@ bad_n = eqx.tree_at(lambda x: x.a, n, "not_an_array")
 with pytest.raises(ReturnError):
     bad_n.bar()
 
-# Test that converters work
+
+#
+# Test that we don't get called in `super()`.
+#
 
 
-class BadConverter(eqx.Module):
-    a: jnp.ndarray = eqx.field(converter=lambda x: x)
+called = False
 
 
+class Base(eqx.Module):
+    x: int
+
+    def __init__(self):
+        self.x = "not an int"
+        global called
+        assert not called
+        called = True
+
+
+class Derived(Base):
+    def __init__(self):
+        assert not called
+        super().__init__()
+        assert called
+        self.x = 2
+
+
+Derived()
+
+
+#
+# Test that stringified type annotations work
+
+
+class Foo:
+    pass
+
+
+class Bar(eqx.Module):
+    x: type[Foo]
+    y: "type[Foo]"
+    # Note that this is the *only* kind of partially-stringified type annotation that
+    # is supported. This is for compatibility with older Equinox versions.
+    z: type["Foo"]
+
+
+Bar(Foo, Foo, Foo)
+
 with pytest.raises(ParamError):
-    BadConverter(1)
-with pytest.raises(ParamError):
-    BadConverter("asdf")
+    Bar(1, Foo, Foo)
 
 # Record that we've finished our checks successfully