Conflict interrupting publicity for the Oscars, say (6)
I believe the answer is:
awards
'the oscars say' is the definition.
(oscar is a kind of award)
'conflict interrupting publicity' is the wordplay.
'conflict' becomes 'war' (war is a kind of conflict).
'interrupting' means one lot of letters goes inside another.
'publicity' becomes 'ads' (advert).
'war' inserted within 'ads' is 'AWARDS'.
'for' is the link.
(Other definitions for awards that I've seen before include "Prizes or tributes" , "Glorifying gongs" , "Tony and Oscar perhaps" , "Gives officially as prize" , "Prizes and presentations" .)