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' is an anagram indicator.
'reside' is an anagram of 'DESIRE'.
'to' acts as a link.
(Other definitions for desire that I've seen before include "Want to reside?" , "Wish for strongly" , "Strong wish" , "Lust" , "Strong need" .)