The only way I've found to improve your shooting skills on running game is to get out and shoot at some running game. Jackrabbits and such make good practice.
Dry fireing at moving stuff might help your hand/eye coordination but you still don't know where the bullet would hit
If I stop long enough to think about how far the animal is, how fast it's going, and how far to lead it, I'll miss every time. If you shoot enough, the lead will become natural and you won't have to think about it. But you have to know exactly where your bullet will actually hit so you know what mistakes you're making.
