Button your lip!

button (one's) lip

To be quiet. Often used as an imperative. Hey, button your lip! We don't need to hear any more out of you today! Julie knew better than to speak up when her father was so angry, so she buttoned her lip for the moment.
See also: button, lip
Farlex Dictionary of Idioms.

Button your lip!

imperative Shut up!; Be quiet! I’ve heard enough outa you! Button your lip!
See also: button
McGraw-Hill's Dictionary of American Slang and Colloquial Expressions
See also:
  • button (one's) lip
  • button lip
  • button your lip
  • be quiet
  • Be quiet!
  • curl (one's) lip
  • curl your lip
  • butt out
  • Butt out!
  • None of your lip!