When someone is hit on at a bar by someone who is so drunk that their pick up lines are a little sloppy. The sloppiness also relates to the dribble from their inebriated lips.
I was at Joe's the other night and got sloppy hit on by Drunk Sue.
Taking some "me" time while on lunch break, resulting in a need for some tissues.
Andy sat in his car and had a "sticky lunch" and now looks a bit sweaty.