Dubious relative's a Republican (7)
I believe the answer is:
unclear
'dubious' is the definition.
(thesaurus)
'relative's a republican' is the wordplay.
'relative' becomes 'uncle' (uncle is a kind of relative).
'republican' becomes 'R' (abbreviation).
'uncle'+'a'+'r'='UNCLEAR'
(Other definitions for unclear that I've seen before include "Not easy to grasp" , "Not obvious, obscure" , "Cloudy or opaque" , "in clouds?" , "An ulcer (anag)" .)