Uninspired support around Republican (4)
I believe the answer is:
arid
'uninspired' is the definition.
(thesaurus)
'support around republican' is the wordplay.
'support' becomes 'aid' ('aid' can be a synonym of 'support'**).
'around' is an insertion indicator.
'republican' becomes 'r' (abbreviation).
'aid' placed around 'r' is 'ARID'.
(Other definitions for arid that I've seen before include "(Of an area) very dry" , "water shortage?" , "Drought-hit" , "Very dry; uninteresting" , "Dry raid" .)