Sorry to hear the goat is gone. Sounds like it's time to grow it back or start a new facial hair style.
It's been over 20 years since I've seen my chin or upper lip. I trimmed a couple inches off the sides of my beard and cleaned up the stragglers off the bottom. Still hangs about 4 inches off the chin closer to 6 if it didn't curl, and I almost felt naked for the first few days after the trim.