Wish to reside differently (6)
I believe the answer is:
desire
'wish' is the definition.
(I know that wish is a kind of desire)
'reside differently' is the wordplay.
'differently' is an anagram indicator.
'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" .)