Yep. Recently at Naples, FL they shot me out between landing aircraft.

Tower wanted me "up on the hold short line with my hand on the throttles
ready to go, absolutely no delay, do NOT stop on the runway when I clear
your takeoff!" I watched a 172 land long, miss the first intersection while
Tower told me to stand by pending the 172 clearing the runway, again,
"absolutely no delay when cleared for takeoff, standby."

My head was on a swivel watching the 172 head for the second intersection
and at the same time watching another aircraft on what looked to be about a
2 mile final. Tower gave me the word just as the 172 cleared the runway and
we were cleared for an immediate takeoff. Once we were rolling, the landing
traffic behind me was cleared to land.

Jim