Fashionable Archdeacon is on Conservative list (9)
I believe the answer is:
inventory
'list' is the definition.
(I've seen this before)
'fashionable archdeacon is on conservative' is the wordplay.
'fashionable' becomes 'in' ('in' can be similar in meaning to 'fashionable').
'archdeacon' becomes 'ven'.
'is on' means one lot of letters go next to another.
'conservative' becomes 'tory' (I've seen this before).
'in'+'ven'+'tory'='INVENTORY'
(Other definitions for inventory that I've seen before include "List of items present" , "Detailed list of goods in stock" , "List of property, etc" , "List of all items in stock" , "assets" .)