Tiny insult (6)
I believe the answer is:
slight
I believe this clue is a double definition.
'tiny' is the first definition.
(thesaurus)
'insult' is the second definition.
(thesaurus)
(Other definitions for slight that I've seen before include "Slender; rebuff" , "Disregard - snub" , "Deliberately discourteous act" , "Deliberate discourteous act" , "Snub - not much!" .)