Complete appendage I got rid of (8)
I believe the answer is:
finished
'complete' is the definition.
(I've seen this before)
'appendage i got rid of' is the wordplay.
'appendage' becomes 'fin' (fin is a kind of appendage).
'got rid of' becomes 'shed' (shed can mean to lose or cast off).
'fin'+'i'+'shed'='FINISHED'
(Other definitions for finished that I've seen before include "wrapped up" , "Ended. completed" , "exhausted" , "dressed" , "Brought to an end" .)