Record and listen in to end of debate (4)
I believe the answer is:
tape
'record' is the definition.
(I know that record can be written as tape)
'listen in to end of debate' is the wordplay.
'listen in' becomes 'tap' (tapping is a kind of listening in).
'to end of' suggests the final letters.
The final letter of 'debate' is 'e'.
'tap'+'e'='TAPE'
'and' acts as a link.
(Other definitions for tape that I've seen before include "Fabric strip; record" , "Race winning line; record" , "Binder" , "Record - broken by the winner" , "Breast this first to win foot-race" .)