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kiss (one's) arse
rude slang To flatter, fawn over, or eagerly agree with (someone, especially a person of higher authority) as a means of currying favor. Primarily heard in UK, Ireland. It's no wonder you're the teacher's favourite from the way you kiss her arse! Look, it's just the nature of this business that sometimes you have to kiss arse if you want to get ahead.
kiss (somebody’s) ˈarse(British English) (American English kiss (somebody’s) ˈass) (taboo, slang) be very nice to somebody in order to persuade them to help you or to give you something
A more polite way to express this is ‘lick somebody’s boots’.