Edward, moving up, longed for such a house (8)
I believe the answer is:
detached
'such a house' is the definition.
(detached house is a kind of house)
'edward moving up longed' is the wordplay.
'edward' becomes 'ted'.
'moving up' says the letters should be written in reverse (for a down clue).
'longed' becomes 'ached' ('ache' can be a synonym of 'long').
'ted' back-to-front is 'det'.
'det'+'ached'='DETACHED'
'for' is the link.
(Other definitions for detached that I've seen before include "Separate, disconnected" , "Unprejudiced" , "Type of house" , "free of ties" , "Unconnected" .)