Zip up 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
Zip (up) your lip!
and Zip it up! exclam. Be quiet!; Zip up your mouth! Shhhh! Zip up your lip! Zip it up and keep it zipped.