Dog bed in its new home at last (7)
I believe the answer is:
scottie
'dog' is the definition.
(I know that Scottie is a type of dog)
'bed in its new home at last' is the wordplay.
'bed' becomes 'cot' (cot is a type of bed).
'in' is an insertion indicator.
'new' indicates an anagram.
'at last' indicates one should take the final letters.
The final letter of 'home' is 'e'.
'its' with letters rearranged gives 'sti'.
'cot' going within 'sti' is 'scotti'.
'scotti'+'e'='SCOTTIE'
(Other definitions for scottie that I've seen before include "Breed of terrier" , "Type of terrier" , "animal" , "Dog" .)