Push for access to house (5)
I believe the answer is:
drive
I believe this is a double definition.
'push' is the first definition.
('drive' can be a synonym of 'push')
'access to house' is the second definition.
(as in a driveway)
'for' is the link.
(Other definitions for drive that I've seen before include "Strong motivation, ambition" , "Organised effort" , "Ambition - steer" , "tenacity" , "Motivational stuff" .)