button one's lip

button one's lip также zip one's lip  {v. phr.},  {slang}

Прекращать разговаривать; сохранять в секрете; замолкать (заткнуться, закрывать рот); молчать.

The man was getting loud and insulting and the cop told him to button his lip.

John wanted to talk, but Dan told him to keep his lip buttoned.

Син.: KEEP ONE'S MOUTH SHUT, SHUT UP.