Conservative shock with chap meeting leader (8)
I believe the answer is:
chairman
'meeting leader' is the definition.
(I've seen this before)
'conservative shock with chap' is the wordplay.
'conservative' becomes 'C' (abbreviation commonly used in UK politics).
'shock' becomes 'hair' (shock can mean a mass of hair).
'with' says to put letters next to each other.
'chap' becomes 'man' (chap can mean a man).
'c'+'hair'+'man'='CHAIRMAN'
(Other definitions for chairman that I've seen before include "Person presiding over a board" , "Sedentary male of a committee" , "president" , "Presiding official" , "Meeting leader" .)