Dog's home outside of London keen to relocate (6)
I believe the answer is:
kennel
'dog's home' is the definition.
(I've seen this before)
'outside of london keen to relocate' is the wordplay.
'outside of' says to hollow out the word (remove centre letters).
'to relocate' is an anagram indicator (I've seen 'relocated' mean this).
'london' with its centre taken out is 'ln'.
'ln'+'keen'='lnkeen'
'lnkeen' is an anagram of 'KENNEL'.
(Other definitions for kennel that I've seen before include "Canine boarding place" , "Doghouse" , "Dog shelter" , "A dog's home, usually outside house" , "Dog house" .)