Often, Slang, With to To adulate or flatter (someone) excessively, generally to obtain some personal benefit or favour.
Jimmy sucked up to the English teacher hoping he would get an A.
And in between sips of Coke / He told me that he thought we were sellin' out / Layin' down, suckin' up to the man / Well now I've got some / Advice for you, little buddy / Before you point the finger / You should know that I'm the man / I'm the man and you're the man / And he's the man as well1996, “Hooker with a Penis”, performed by Tool: