Strange desire to live (6)
I believe the answer is:
reside
'live' is the definition.
(I know that reside is a more specific form of live)
'strange desire' is the wordplay.
'strange' indicates an anagram.
'desire' with letters rearranged gives 'RESIDE'.
'to' is the link.
(Other definitions for reside that I've seen before include "'Live, dwell (6)'" , "Make one's home permanently" , "Dwell permanently" , "Inhabit" , "Live in permanently" .)