Find out if record has finished (8)
I believe the answer is:
discover
'find out' is the definition.
(discovering is a kind of finding out)
'record has finished' is the wordplay.
'record' becomes 'disc' (eg a CD, compact disc).
'has' means one lot of letters go next to another.
'finished' becomes 'over' (over can mean finished or ended).
'disc'+'over'='DISCOVER'
'if' acts as a link.
(Other definitions for discover that I've seen before include "turn up" , "Find unexpectedly" , "Detect, find" , "Be the first to find something" , "Ascertain, unearth" .)