The deep branch of the ulnar nerve runs through the centrr 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.
Extra thick handles address the problem.
So, Fat Gripz will work. I've personally used them on dips occasionally over the past few years and do find it more comfortable. Same goes for very thin bars, esp pressing work.

