[noun] + の手前 [verb (plain)] + 手前
手前 has two uses. After a place and の it means "just before" or "this side of"; after a verb, or a person and の, it means "having done ~" or "in front of ~", and what follows is what you now have to do to keep face.
The verb before 手前 is usually in the た-form: something you said, promised or took on. The second half is what you can't now get out of, often with わけにはいかない or しかない.
With a person and の, it is the people watching you – your juniors, a customer, your boss.
Separately, 手前 is an old humble word for "I", and its rough form てめえ is an insulting "you" heard in films and manga.