Not oblivious to a conflict before the end of the debate (5)
I believe the answer is:
aware
'not oblivious' is the definition.
(I've seen this in another clue)
'a conflict before the end of the debate' is the wordplay.
'conflict' becomes 'war' (war is a kind of conflict).
'before' means one lot of letters go next to another.
'the end of' suggests the final letters.
The final letter of 'debate' is 'e'.
'a'+'war'+'e'='AWARE'
'to' acts as a link.
(Other definitions for aware that I've seen before include "well informed" , "Bearing in mind" , "Having knowledge of, informed" , "Alert, conscious of" , "Acquainted with or conscious of" .)