Grip and forearm exercises - one of those squeeze grips spring things. The rest is just general conditioning. And then depending on the discipline you are shooting:
1. Draws from holsters to come on target
2. Mag/speedloader exercises
3. Multiple target movements
4. Draw and dry-fire, double taps etc.
5. Sight acquisition.
But most of my handgun shooting was done for defensive, work-related stuff, so for me it had more to do with surviving a shift than scoring well in a match.
As you practice, though, concentrate on getting the movements smooth and slick. Smooth is fast. Economy of motion. Don't move twice if once is enough. Let gravity take your mag out, don't pull it out. Lots of stuff to work on.
Since I retired, I am still helping some of the younger guys with shooting skills, just to keep them alive for the next shift -- volunteer stuff for me.
