Exclude wild stories about a Conservative (9)
I believe the answer is:
ostracise
'exclude' is the definition.
(I know that ostracise is a more specific form of the action exclude)
'wild stories about a conservative' is the wordplay.
'wild' indicates anagramming the letters.
'about' is an insertion indicator.
'conservative' becomes 'C' (UK political abbreviation).
'stories' anagrammed gives 'ostrise'.
'a'+'c'='ac'
'ostrise' enclosing 'ac' is 'OSTRACISE'.
(Other definitions for ostracise that I've seen before include "cut off" , "Shun, exclude" , "Exclude, blackball" , "exile" , "Exclude from a group or society" .)