Has nothing to do with the DISGUSTING definitions some CRUDE people with no upbringing have submitted for phrases relating to "Shine". No. It simply means to ignore someone.
...such as when a guy is trying to flirt with a girl and she ignores him. He might say to her, "You shinin' me on, Baby? Okay, I see how it is. Just shine me on."
by Louisa D November 11, 2006