Former media state (7)
I believe the answer is:
express
'state' is the definition.
(synonyms)
'former media' is the wordplay.
'former' becomes 'ex' (prefix meaning former or onetime).
'media' becomes 'press' (the press is part of the media).
'ex'+'press'='EXPRESS'
(Other definitions for express that I've seen before include "for a specific purpose?" , "Rapid" , "Put into words - quick!" , "Non-stop(ping)" , "Show" .)