Object to being without home: urged to move (8)
I believe the answer is:
begrudge
'object to' is the definition.
(thesaurus)
'being without home urged to move' is the wordplay.
'without' suggests deleting specific letters.
'home' becomes 'in' ('he's home' can mean 'he's in').
'to move' indicates anagramming the letters.
'being' with 'in' taken out is 'beg'.
'urged' anagrammed gives 'rudge'.
'beg'+'rudge'='BEGRUDGE'
(Other definitions for begrudge that I've seen before include "Envy (someone) the enjoyment of" , "Envy (someone) the possession of" , "Envy, be jealous of" , "Envy, resent other's good fortune" , "Give resentfully" .)