Clock control press

I wonder why more teams don't use a clock control press. By that I mean a press that is not intended to produced turnovers immediately, but to eat a few seconds off the shot clock, perhaps producing a turnover on the back side if the buzzer sounds, or at least forcing an ill-advised shot late into the shot clock. The press would not only slow down the other team getting across half court, but if it is continued into possession, would prevent them from getting into their offense immediately once they do get across half court. Sounds like a good idea to me. The net effect of doing that the whole game could be considerable.