One conservative on blow is concerned with matters of taste (9)
I believe the answer is:
gustatory
'concerned with matters of taste' is the definition.
(gustatory means relating to taste)
'one conservative on blow' is the wordplay.
'one' becomes 'a' (a thing is one thing).
'conservative' becomes 'tory' (informal term for a Conservative Party member).
'on' says to put letters next to each other.
'blow' becomes 'gust' (as in a gust of wind).
'a'+'tory'='atory'
'atory' after 'gust' is 'GUSTATORY'.
'is' is the link.
(Another definition for gustatory that I've seen is " Tasty".)