give up in the face of defeat of lacking hope
"In the second round, the challenger gave up"
- drop out - give up - fall by the wayside - drop by the wayside - throw in - throw in the towel - chuck up the sponge
turn away from
"I am foreswearing women forever"
go away or leave
- take leave
give up or retire from a position
"The Secretary of the Navy will leave office next month"
"The chairman resigned over the financial scandal"
- leave office - step down
put an end to a state or an activity
"Quit teasing your little brother"
- give up - lay off