Give up where acid beat complex (8)
I believe the answer is:
abdicate
'give up' is the definition.
(abdicating is a kind of giving up)
'acid beat complex' is the wordplay.
'complex' indicates an anagram.
'acid'+'beat'='acidbeat'
'acidbeat' anagrammed gives 'ABDICATE'.
'where' acts as a link.
(Other definitions for abdicate that I've seen before include "Abandon" , "Give up a throne" , "Resign from or renounce the throne" , "step down" , "Give up power" .)