Parties veto motion by broadcaster and writer (10)

'writer' is the definition.
(novelist Fyodor Dostoevsky)

'parties veto motion by broadcaster' is the wordplay.
'parties' becomes 'dos' (do is a kind of party).
'motion' indicates anagramming the letters.
'by' is a charade indicator (letters next to each other).
'broadcaster' becomes 'sky' (Sky is a television company).
'veto' anagrammed gives 'toev'.
'dos'+'toev'+'sky'='DOSTOEVSKY'

'and' acts as a link.