Wish to reside differently (6)
I believe the answer is:
desire
'wish' is the definition.
(desiring is a kind of wishing)
'reside differently' is the wordplay.
'differently' indicates an anagram.
'reside' is an anagram of 'DESIRE'.
'to' is the link.
(Other definitions for desire that I've seen before include "Want to reside?" , "Wish for strongly" , "Strong wish" , "Lust" , "Strong need" .)