Acquire from ancestors home and their ground (7)
I believe the answer is:
inherit
'acquire from ancestors' is the definition.
(to inherit is to acquire property from ancestors)
'home and their ground' is the wordplay.
'home' becomes 'in' ('he's home' can mean 'he's in').
'and' says to put letters next to each other.
'ground' is an anagram indicator ('grind' the letters into a new form).
'their' is an anagram of 'herit'.
'in'+'herit'='INHERIT'
(Other definitions for inherit that I've seen before include "Receive from a deceased parent" , "Receive as bequest from will" , "Acquire from ancestors" , "Succeed as heir" , "Receive from a predecessor" .)