I had the same thing happen years ago to one of my goat kids. I took him to the vet thinking he needed stitches, but he said stitches would be futile as he would most likely rip them out. I believe he gave him a shot of antibiotic (which I may have had to follow up on my own for a few more days, but can't really remember as it's been so long) and said to let it heal on its own which it did but he had a permanent split in his lower lip and when he drank water would leak out there. In the winter, I kid you not, icicles would form from that split! lol!
Stella - sweet, timid, elegant, lovely, lively, amazing
Luna - large, unattractive, naughty, adored