"Give it up" is a colloquial expression used to urge someone to stop doing something. It implies surrender or relinquishing a certain behavior or habit. There are plenty of synonyms that can be used instead of "give it up," such as "quit," "cede," "relinquish," "abandon," "yield," "concede," "surrender," "forfeit," "renounce," and "let go." Each synonym can be used in different contexts and can convey different connotations. Choosing the right synonym depends on the situation and the intended message. For instance, "quit" is often used when wanting someone to stop doing something for good, while "yield" suggests a more temporary pause.