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1.
A reference to describe someone who's got a hot body but also has an ugly face, or if the first thing you notice is their ugly face. This cover the whole scale of uglyness, a less refined man/or woman may find a muck face attractive.
Pete: That chick playing pool is a hootie!

Gary: No way she's got terrible muck face.

Pete: Look at her body man?

Gary: True but I can't look at her face for too long, and your just desperate!

Pete: Your right, but that's why they invented doggy style! Alright!
by speefer madness October 23, 2006
 
2.
The male version of duckface
did you check out dude's new facebook pic? Total muckface.
by J.L.Lee October 19, 2011