To stop the mouth

to silence or be silent; to put to shame; to confound.
See under Mouth.

See also: Mouth, Stop

References in classic literature ?
cried Mr Tappertit, standing on tiptoe, as if by that means he, in the street, were any nearer being able to stop the mouth of Miggs in the garret.
Turned out of the Jockey Club, turned out of Tattersalls', turned out of the betting-ring; in short, posted publicly as a defaulter before the noblest institution in England, the Turf--and all for want of five hundred pounds to stop the mouth of the greatest brute I know of, Alfred Hardyman