It does sound ridiculous when Cicci mentions it. I always thought it was poor writing; that FFC was trying to get a verb out of the term "Button Man."
Maybe it was a Cicciism or a term used among the Corleone button men. One more thing: Cicci doesn't seem to be the brightest guy. When Geary says: "Could you amplify your answer?" he doesn't know what he's supposed to do.
