The idea of Touch-and-Go actually has its roots in aviation. New pilots use it to learn how to land and take off again. You come down for a landing, touch the runway with your wheels, and then push the throttle forward to take off again.
What does Touch-and-Go have to do with consistently breaking targets in sporting clays? It has to do with how you approach the target, touch it, and then pull ahead for the proper forward allowance — or lead as most people call it.