Give up, indeed, finishing early (4)
I believe the answer is:
quit
'give up' is the definition.
(both can mean to resign)
'indeed finishing early' is the wordplay.
'indeed' becomes 'quite' (both can be used to express agreement).
'finishing early' means to remove the last letter (the word finishes earlier than normal).
'quite' with its final letter removed is 'QUIT'.
(Other definitions for quit that I've seen before include "Go away from or abandon task" , "Left" , "Decamp" , "Depart, resign from" , "Leave, desert" .)