The motion of movement used to describe the victim of an endless discussion trying to get away. This is normally done by sliding one's feet slowly away from the person talking, sometimes mumbling something like "right", "ok" or "sure". The intention is to exit the area without the offending person following. This can also be seen in single bars and is often used by women trying to get away from some tool.
Man I was out taking a smoke break and some dude comes over to talk about something, He wouldn't stop talking and I had to get back to work, so I had to do a kaygina shuffle to get away.