Issue of revolting magazine (4)
I believe the answer is:
emit
'issue' is the definition.
(both can mean to give out or radiate)
'revolting magazine' is the wordplay.
'revolting' is a reversal indicator.
'magazine' becomes 'time' (US magazine).
'time' reversed gives 'EMIT'.
'of' acts as a link.
(Other definitions for emit that I've seen before include "Give out or put forth" , "Come out!" , "Let out" , "Sent" , "Exhale" .)