Sets media to work, suppressing popular broadcast (11)
I believe the answer is:
disseminate
'broadcast' is the definition.
(I know that broadcast can be written as disseminate)
'sets media to work suppressing popular' is the wordplay.
'to work' is an anagram indicator (letters worked into a new order).
'suppressing' means one lot of letters goes inside another.
'popular' becomes 'in' (something that's 'in' is fashionable).
'sets'+'media'='setsmedia'
'setsmedia' is an anagram of 'dissemate'.
'dissemate' placed around 'in' is 'DISSEMINATE'.
(Other definitions for disseminate that I've seen before include "Spread widely" , "Broadcast" , "Spread abroad" .)