Spare cold shoulder (6)
I believe the answer is:
slight
This clue is a double definition.
'spare' is the first definition.
(thesaurus)
'cold shoulder' is the second definition.
(thesaurus)
(Other definitions for slight that I've seen before include "trivial" , "Deliberate discourteous act" , "Small in degree; insult" , "hardly worth mentioning?" , "Affront of delicate sort" .)