A bid for change -- queen finally made to give up (8)
I believe the answer is:
abdicate
'give up' is the definition.
(abdicating is a kind of giving up)
'a bid for change queen finally made' is the wordplay.
'for change' indicates anagramming the letters (I've seen this in other clues).
'queen' becomes 'cat' (a queen is a female cat**).
'finally' indicates one should take the final letters.
The final letter of 'made' is 'e'.
'bid' anagrammed gives 'bdi'.
'a'+'bdi'+'cat'+'e'='ABDICATE'
'to' acts as a link.
(Other definitions for abdicate that I've seen before include "Give up rule" , "Resign from or renounce the throne" , "Resign from monarchy" , "stand down" , "Formally renounce throne, power etc" .)