wind (someone) up

Definition: to make someone feel annoyed.
(Informal. Pronunciation: ‘wind’ rhymes with ‘find’ & ‘kind’)

E.g.1: It really winds me up when I telephone a company and they play music while I wait.
E.g.2: I know! Let’s wind the teacher up by getting the answer wrong every time he asks us a question!

This phrasal verb can be separated. (E.g.1 and 2)