Party acquiring dubious votes — the limit possibly for famous Russian (10)

'for famous russian' is the definition.
(novelist Fyodor Dostoevsky)

'party acquiring dubious votes the limit' is the wordplay.
'party' becomes 'do' (do is a kind of party).
'acquiring' means one lot of letters goes inside another.
'dubious' is an anagram indicator.
'the limit' becomes 'sky' ('the sky's the limit').
'votes' anagrammed gives 'toevs'.
'toevs' put within 'sky' is 'stoevsky'.
'do'+'stoevsky'='DOSTOEVSKY'

'possibly' is the link.