Push fashion for private road (8)
I believe the answer is:
driveway
'private road' is the definition.
('driveway' can be a synonym of 'private road')
'push fashion' is the wordplay.
'push' becomes 'drive' ('drive' can be a synonym of 'push').
'fashion' becomes 'way' ('way' can be a synonym of 'fashion').
'drive'+'way'='DRIVEWAY'
'for' acts as a link.
(Other definitions for driveway that I've seen before include "Long approach to a house" , "Small private road as approach to house" , "short private road" , "Private path for car in front of house" , "Approach to a large house" .)