I've participated in my school's improvisational acting programs for a while and I can definately say that it can help on-the-fly RP. Learning how to extend a scene and keep it from being a stare-fest is something very important in any game that doesn't constantly throw stimuli in the players' faces, and since that's one of the goals of improv, it works as an excellent training tool.
Of course, some things are just talent, timing, and wit.
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