Officer briefly laid on fine blanket (7)
I believe the answer is:
generic
'blanket' is the definition.
(as in a blanket term or generic term)
'officer briefly laid on fine' is the wordplay.
'officer briefly' becomes 'gen' (abbreviation for general; 'briefly' asks for a short form).
'laid on' is a charade indicator (letters next to each other).
'fine' becomes 'eric' (I've seen this before).
'gen'+'eric'='GENERIC'
(Other definitions for generic that I've seen before include "Non-proprietary (drug)" , "Applicable to an entire class or group" , "Of a whole genus or group" , "Applicable to a whole class or group" , "Collective" .)