Find record at an end (8)
'find' is the definition.
('discover' can be a synonym of 'find')
'record at an end' is the wordplay.
'record' becomes 'disc' ('disc' can be a synonym of 'record').
'at an end' becomes 'over'.
'disc'+'over'='DISCOVER'
(Other definitions for discover that I've seen before include "Come upon" , "Be first to observe" , "Make a new finding" , "Be the first to find something" , "Uncover, find" .)
'find record' is the definition.
'disc' can be an answer for 'record' ('disc' can be a synonym of 'record'). I am not certain of the 'find' bit.
I don't understand how the rest of the clue works.
(Other definitions for disc that I've seen before include "counter" , "put on by jockey?" , "jockey may be after" , "Flat thin round object" , "Flat round plate" .)