A three piece vacuum cup is made from rubber to resist damage and facilitates reconfiguring when badly damaged or for specific applications. The vacuum cup includes top, center, and bottom parts. The top is easily and inexpensively replaceable. A flexible lip seal surrounds the top edge of the top to seal against irregular surfaces and damage to the lip seal may be addressed by inserting a cord seal into slots in the top to form a second seal. Part of the top may be cut away to use with small parts and sealed using the cord seal. The center includes a family of passages which may be selectively blocked to permit use of partial tops. A bar pattern on the top has bars aligned in perpendicular directions to better hold material in all cutting directions.