The first Binky was a kid who was an American vaudeville onstage sidekick to a comic, a line and routine feeder. Then "Binky" became standard acting slang for any kid used onstage in that matter, usually an ignorant, innocent little runt.
Which makes it all the funnier when Jan, in BG2, addresses the large, evil Saverok (after he's joined your party) continuously as "Binky."