A medical table and clamp apparatus provides a medical table having sides and at least one rail extending along a side. A clamp travels along the rail, the clamp having a clamp body which has a pair of spaced apart appendages with a recess therebetween. An internally threaded sleeve extends through the body and has an end portion that communicates with the recess. An externally threaded shaft threadably engages the sleeve. A bearing is mounted on one end of the shaft. A pusher/pressure plate is mounted on the bearing with a pivotal, articulating or ball and socket connection and has a concave surface that grips curved structures. The pusher plate is supported within the recess. The pusher plate is movable toward or away from the sleeve. An insert is connectable to the pressure/pusher plate and presents a flat surface to an implement that is to be clamped.