Zip your lip!

Zip (up) your lip(s)!

slang Stop talking; shut up. A: "But Mom, I don't want to go!" B: "Zip your lip, Charlie! You're going to math camp, and that's final!" All right, everyone, zip up your lips! I don't want to hear another sound until the presentation is over.
See also: zip
Farlex Dictionary of Idioms.

Zip (up) your lip!

 and Zip it up!
Inf. Be quiet!; Close your mouth and be quiet! "I've heard enough. Zip your lip!" hollered the coach. Andy: All right, you guys. Shut up! Zip it up! Bob: Sorry. Andy: That's better.
See also: zip
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs.

Zip your lip!

verb
See Zip up your lip!
See also: zip
McGraw-Hill's Dictionary of American Slang and Colloquial Expressions
See also:
  • Zip (up) your lip(s)!
  • Zip up your lip!
  • Zip your lip(s) up!
  • Zip it (up)!
  • Zip it up!
  • Zip (up) your mouth(s)!
  • Zip your trap!
  • curl (one's) lip
  • curl your lip
  • zip on