Issue #15179: Closed socket on connection failure. Thanks to Kazutaka Morita for the patch.
diff --git a/Lib/logging/handlers.py b/Lib/logging/handlers.py
index 22f8c34..d4df5c6 100644
--- a/Lib/logging/handlers.py
+++ b/Lib/logging/handlers.py
@@ -761,7 +761,11 @@
         except socket.error:
             self.socket.close()
             self.socket = socket.socket(socket.AF_UNIX, socket.SOCK_STREAM)
-            self.socket.connect(address)
+            try:
+                self.socket.connect(address)
+            except socket.error:
+                self.socket.close()
+                raise
 
     def encodePriority(self, facility, priority):
         """