Suffer at home over worthless dog (5)
I believe the answer is:
incur
'suffer' is the definition.
(I've seen this before)
'home over worthless dog' is the wordplay.
'home' becomes 'in' ('he's home' can mean 'he's in').
'over' means one lot of letters go next to another.
'worthless dog' becomes 'cur' (I've seen this before).
'in'+'cur'='INCUR'
'at' acts as a link.
(Other definitions for incur that I've seen before include "Become liable or subject to" , "Take on (obligation)" , "Bring something on oneself, often unpleasant" , "Fall liable to" , "Become responsible for" .)