Country house reportedly displaying style (6)
I believe the answer is:
manner
'style' is the definition.
(I know that style can be written as manner)
'country house reportedly' is the wordplay.
'country house' becomes 'manor' (I've seen this before).
'reportedly' shows a homophone (sound like).
'manor' sounds like 'MANNER'.
'displaying' acts as a link.
(Other definitions for manner that I've seen before include "Deportment or method" , "Style, air" , "Way of doing something, or general attitude" , "Way of acting or behaving" , "Mode" .)