I'm not sure that jump rope will do much for your quickness, but I absolutely guarantee that it will be great for cardio and endurance if you do it seriously. If you are out of shape then jumping rope will straight up stomp your ass. If I decided I wanted to start playing several rounds every day I would absolutely start exercising with a jump rope.
For quickness the football and basketball drills that everyone knows are good, as are heavy correct squats in the gym. Head up, heels flat, all the way down.