Definition of button one's lip in US English:

button one's lip

phrase

informal
  • Stop or refrain from talking.

    • ‘I'd told her this was payback for keeping me in the dark about the visit of Lorne, Bryan, and Co. on my birthday, and buttoned my lip.’
    • ‘The nation's professional churl had finally been forced to button his lip.’
    • ‘But they do like and respect him, and I can't imagine them agreeing that as a former Governor General he should button his lip.’
    • ‘Know when to button your lip and let others talk.’
    • ‘I am talking here, Abra, so I would kindly appreciate it if you would button your lip.’
    be quiet, keep quiet, stay quiet, be silent, keep silent, stay silent, hold one's tongue, keep one's lips sealed
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