live for
phrasal verb
lived for;
living for;
lives for
Definition of live for
1
: to wait or hope for (something) very eagerly
I live for the day when we'll be together!
2
: to think of (something) as the most important or enjoyable part of one's life
She lives for her work.
3
: to think of (something) as a reason for being alive
He's depressed and feels as if he has nothing left to live for.