To beat someone/something up so badly that it is severely
disfigured for a period of time after.
Derived from
Jared Leto's character "Angel Face" in Fight Club - he is beaten to a pulp by
the narrator and severly disfigured.
Guy:I'll
Angel Face you.
Another Guy: My damn
radio pissed me off so much I threw it across the room and Angel
Faced it.