A holder for temporarily stabilizing an end of a flexible rod-like workpiece. The holder includes a magnetic core enclosed within a non-magnetic cover, the overall exterior configuration of the holder preferably being that of a cylinder or disc. An opening extends through the holder for receiving an end of the workpiece as the holder is magnetically attached to a ferrous support surface. A portion of the opening may be smooth so as to receive the rod like workpiece without threaded engagement, and another portion of that opening may be threaded so as to clean the threads of a cut-off segment of threaded rod.