Stick around at home like a dog (6)
I believe the answer is:
canine
'dog' is the definition.
(I've seen this before)
'stick around at home' is the wordplay.
'stick' becomes 'cane' (cane is a kind of stick).
'around' is an insertion indicator.
'at home' becomes 'in' ('I'm in' can mean 'I'm at home').
'cane' placed around 'in' is 'CANINE'.
'like a' is the link.
(Other definitions for canine that I've seen before include "Pointed conical tooth" , "such as Lassie" , "Maybe setter" , "like a setter" , "Tooth; dog" .)