I've been doing gymnastics work for around 8 months or so now and at first I'd get rips on both hands all the time. Now lately I've only been ripping on my right hand which is my dominate side. For example kips on parallel bars tear my right hand to shreds while my left hand might get a minor rip from time to time. I know I'm just compensating with my right to make skills easier but I could be wrong.
What should I do to fix this? Should I do some 1 arm conditioning or should I just stick to normal conditioning and let my left catch up to where I won't need to compensate and just be weaker on my left side.