If you get a 'vertical' mouse (either one that looks like it stands on its side or one that is like a sliding joystick), you basically have no choice but to use your whole arm - I've used one of those for a while, interesting experience.
I was told myself that you should set your mouse sensitivity to the highest setting possible, so that you basically aren't moving the mouse, so there is no movement of your arm.
(It takes a bit to get the hang of it though)