Odd desire to live (6)
I believe the answer is:
reside
'live' is the definition.
(residing is a kind of living)
'odd desire' is the wordplay.
'odd' indicates anagramming the letters.
'desire' is an anagram of 'RESIDE'.
'to' is the link.
(Other definitions for reside that I've seen before include "Lodge" , "Stay - desire (anag)" , "Dwell in desire" , "Live (at an address)" , "Make one's home permanently" .)