I know that really hard-kicking rounds, like full-power 454 Casulls, can eventually do nerve damage. That may be the recoil force, but I also have my own pet theory that at ~60,000 psi, a shockwave comes through the gun that is probably more damaging than the kick. If you've ever seen the results of a rifle going boom, you can see how that shock does things like turn stocks into toothpicks.
I used to get "tinglies" from 44 Magnum, but I don't get that any more. There is at least one study that points to genetics as the major contributor to "carpal tunnel" syndrome, and sometimes I wonder if folks that have that gene are susceptible to any kind of overworking of the lower arms. Are you prone to any other repetitive-action injuries? I get the shakes, too, but that's almost all the time, and it's because I've been smoking since I was 17, save for the couple years I quit.