Tossing a pizza is like using a roof top bike rack: Looks hot but is not a good decision.
Twirling a a pizza up in the air more than once or twice inevitably results in a disproportionately thin center to outer edge thickness disparity--which inevitably results in a hole in the center (which try as you might, is really not repairable and means you just discard the dough ball). This might be a non-issue for thick crust style pizza, but its a poor outcome for thin crust, as most of us upon occasion have had the outer half of our slices sag into drippiness.
People toss and twirl a dough ball because its quick. But taking the time to work it with your two fists underneath will yield a more consistent overall thickness and a better pie.
(Riding around with bikes upright on your car roof rack almost always ends when you drive into a low overhang--like your garage!)
Chicago is my spiritual chow home