It's when two dicks (as in the people) start to bicker. The resulting feud is called dickering. I suppose it could be a sort ofsword fight between two dicks (the things), but that's just speculation.
Ulzzang true definition is "best & "face" = best face in korean. They are basically people with above average looks, sometimes with the use of photoshop and haduri who post their pics online, some becoming internet celebrities.
"Hey, see that chick over there? She's pretty enough to be an ulzzang. :D"