None of your cheek. None of your insolence. “None of your jaw” means none of your nagging or word irritation.
We say a man is very cheeky, meaning that he is saucy and presumptuous.
“On account of his having so much cheek” —Dickens: Bleak House.
(To). To be saucy. “You must cheek him well,” i.e. confront him with fearless impudence; face him out.