Button your lip verb informal
He thought no one would listen to him so he decided to button his lip.
Hey, button your lip! We have had enough of you!
This idiom is often used to express that you should accept an unpleasant situation or event because you cannot change it.
Once something has been done, you can do nothing but face the consequences.
Act in a way that is likely to cause problems for you
We can change the possessive adjective from your into my, her, his, their, our or one's.
(Image Source: Internet)
This idiom derives from the early 20th century in America. This was a polite way of telling someone to be quiet or stop talking without being considered as rude.