give up 1. a To surrender: The suspects gave themselves up. b. To devote (oneself) completely: gave herself up to her work. 2 a To cease to do or perform: gave up their search. b To desist from; stop: gave up smoking. 3 To part with; relinquish: gave up the apartment; gave up all hope. 4 a To lose hope for: We had given the dog up as lost. b To lose hope of seeing: We'd given you up an hour ago. 5 To admit defeat. 6 To abandon what one is doing or planning to do: gave up on writing the novel.

it's in my dictionary!"