Squeeze out of news media (7)
I believe the answer is:
express
'squeeze' is the definition.
(thesaurus)
'out of news media' is the wordplay.
'out of' becomes 'ex' ('out of' in Latin).
'news media' becomes 'press' (I've seen this in another clue).
'ex'+'press'='EXPRESS'
(Other definitions for express that I've seen before include "Specific; going at speed" , "This train doesn't stop" , "Show" , "Articulate, give voice to" , "Convey; high-speed" .)