GH60942 Revert removal of overloads

Author: loicdiridollou

pandas/core/series.py

@@ -4641,6 +4641,31 @@ def _needs_reindex_multi(self, axes, method, level) -> bool:
         """
         return False
 
+    @overload
+    def rename(
+        self,
+        index: Renamer | Hashable | None = ...,
+        *,
+        axis: Axis | None = ...,
+        copy: bool | lib.NoDefault = ...,
+        inplace: Literal[True],
+        level: Level | None = ...,
+        errors: IgnoreRaise = ...,
+    ) -> Series | None: ...
+
+    @overload
+    def rename(
+        self,
+        index: Renamer | Hashable | None = ...,
+        *,
+        axis: Axis | None = ...,
+        copy: bool | lib.NoDefault = ...,
+        inplace: Literal[False] = ...,
+        level: Level | None = ...,
+        errors: IgnoreRaise = ...,
+    ) -> Series: ...
+
+
     def rename(
         self,
         index: Renamer | Hashable | None = None,
@@ -4650,7 +4675,7 @@ def rename(
         inplace: bool = False,
         level: Level | None = None,
         errors: IgnoreRaise = "ignore",
-    ) -> Series:
+    ) -> Series | None:
         """
         Alter Series index labels or name.
 
@@ -4699,8 +4724,8 @@ def rename(
         Returns
         -------
         Series
-            Series with index labels or name altered as a copy or the same object
-            if ``inplace=True``.
+            Series with index labels or name altered as a copy, the same object
+            if ``inplace=True`` and index is not a dict or callage else None.
 
         See Also
         --------