Awesome question!!!
I've always wondered about this.. You know, "Taylor Dane is singing along, and all of a sudden when she finishes the line, a big huge reverb comes out of nowhere."
I've always thought this was done via, "manual automation of the faders on the desk, via a human hand." But its quite possible that this is done with ducking!! It probably is.. lol..
Meanwhile, I do not think a compressor is the tool you want here.. I think you are actually looking for a gate.. When the vocal stops, the gate on the reverb/delay or whatever, than opens.. How to set this up.. I've got no clue!! But I can't wait to read the answer..
I'm just marking my spot, to subscribe to the thread and read it quite possibly when more folk arrive... to give their insight