Home support near the coast (7)
I believe the answer is:
inshore
'near the coast' is the definition.
(I've seen this before)
'home support' is the wordplay.
'home' becomes 'in' ('he's home' can mean 'he's in').
'support' becomes 'shore' (I've seen this before).
'in'+'shore'='INSHORE'
(Other definitions for inshore that I've seen before include "little out to sea" , "towards the coast from the sea" , "not far from the coast" , "coming in to land" , "No heirs (anag.)" .)