Not at home, in a fashion (4)
I believe the answer is:
away
'not at home' is the definition.
(I've seen this before)
'a fashion' is the wordplay.
'fashion' becomes 'way' ('way' can be a synonym of 'fashion').
'a'+'way'='AWAY'
'in' is the link.
(Other definitions for away that I've seen before include "Onward" , "At a distance; match" , "At a distance, from home say" , "Distant or not present" , "(Of match) not home" .)