A vagina that has an excess amount of pubic hair (pubes). The large amount of hair resembles Chewbacca, a hairy wookie from Star Wars. A Chewbacca Snatch is never a pleasant sight.
If you or anyone you know happens to have a Chewbacca Snatch, please take immediate action by shaving the vaginal area or telling the person to shave the area.
Bob: So how did your date with Susan go?
Charles: Well I was going down on her, but the bitch had a Chewbacca Snatch, so I put her pants back on and walked out the door.