Left tune at home (4)
I believe the answer is:
lair
'home' is the definition.
(I know that lair is a type of home)
'left tune' is the wordplay.
'left' becomes 'l' (common abbreviation).
'tune' becomes 'air' (air can mean a piece of music).
'l'+'air'='LAIR'
'at' is the link.
(Other definitions for lair that I've seen before include "Rail about wild animal's home" , "Wild animals' habitation" , "Den of a wild animal" , "beastly retreat" , "Hideaway, den" .)