diff --git a/src/executorlib/standalone/serialize.py b/src/executorlib/standalone/serialize.py
index 125cf97f..012508be 100644
--- a/src/executorlib/standalone/serialize.py
+++ b/src/executorlib/standalone/serialize.py
@@ -75,7 +75,7 @@ def serialize_funct(
                 "kwargs": fn_kwargs,
             }
         )
-        task_key = fn.__name__ + _get_hash(binary=binary_all)
+        task_key = _get_function_name(fn=fn) + _get_hash(binary=binary_all)
     data = {
         "fn": fn,
         "args": fn_args,
@@ -99,3 +99,10 @@ def _get_hash(binary: bytes) -> str:
     # Remove specification of jupyter kernel from hash to be deterministic
     binary_no_ipykernel = re.sub(b"(?<=/ipykernel_)(.*)(?=/)", b"", binary)
     return str(hashlib.md5(binary_no_ipykernel).hexdigest())
+
+
+def _get_function_name(fn: Callable) -> str:
+    if hasattr(fn, "__name__"):
+        return fn.__name__
+    else:
+        return str(fn).split()[0].split(".")[-1]
diff --git a/tests/test_singlenodeexecutor_cache.py b/tests/test_singlenodeexecutor_cache.py
index 650c0044..f04bd4dc 100644
--- a/tests/test_singlenodeexecutor_cache.py
+++ b/tests/test_singlenodeexecutor_cache.py
@@ -17,6 +17,11 @@ def get_error(a):
     raise ValueError(a)
 
 
+class AddClass:
+    def __call__(self, a, b):
+        return a+b
+
+
 @unittest.skipIf(
     skip_h5py_test, "h5py is not installed, so the h5io tests are skipped."
 )
@@ -34,6 +39,21 @@ def test_cache_data(self):
             sum([sum(c["input_args"][0]) for c in cache_lst]), sum(result_lst)
         )
 
+    def test_cache_data_class(self):
+        cache_directory = os.path.abspath("executorlib_cache")
+        with SingleNodeExecutor(cache_directory=cache_directory) as exe:
+            self.assertTrue(exe)
+            cloudpickle_register(ind=1)
+            add_instance = AddClass()
+            future_lst = [exe.submit(add_instance, a=i, b=i) for i in range(1, 4)]
+            result_lst = [f.result() for f in future_lst]
+
+        cache_lst = get_cache_data(cache_directory=cache_directory)
+        self.assertEqual(sum([c["output"] for c in cache_lst]), sum(result_lst))
+        self.assertEqual(
+            sum([sum([c["input_kwargs"]["a"], c["input_kwargs"]["b"]]) for c in cache_lst]), sum(result_lst)
+        )
+
     def test_cache_key(self):
         cache_directory = os.path.abspath("executorlib_cache")
         with SingleNodeExecutor(cache_directory=cache_directory) as exe:
diff --git a/tests/test_standalone_serialize.py b/tests/test_standalone_serialize.py
new file mode 100644
index 00000000..8e7104a1
--- /dev/null
+++ b/tests/test_standalone_serialize.py
@@ -0,0 +1,21 @@
+import unittest
+from executorlib.standalone.serialize import _get_function_name
+
+
+def my_function(a: int, b: int) -> int:
+    return a + b
+
+
+class MyClass:
+    def __call__(self, a: int, b: int) -> int:
+        return a + b
+
+
+class TestSerialization(unittest.TestCase):
+    def test_serialization(self):
+        fn = _get_function_name(fn=my_function)
+        self.assertEqual(fn, "my_function")
+        fn = _get_function_name(fn=MyClass())
+        self.assertEqual(fn, "MyClass")
+        fn = _get_function_name(fn=None)
+        self.assertEqual(fn, "None")