You can still do heavy dips
The deep branch of the ulnar nerve runs through the center of the hand. Serious athletes who train heavy and are progressive eventually have to stop dipping or alter the way they do the exercise. Pressure from the dip bar on the nerve causes numbness in the fingers, hand, forearm and elbow each time they lift big weights.
The extra thick handles requested by the University of Indiana's strength coaches and developed by Rogers Athletic address the problem. The Rogers dip station allows the athlete to continue one of the great upper body exercises without discomfort.
Josh Eidson does a series of dips with 135 pounds
Dip Big Weights To Get Strong