Inconsiderable snub (6)
I believe the answer is:
slight
This clue is a double definition.
'inconsiderable' is the first definition.
(I've seen this before)
'snub' is the second definition.
(thesaurus)
(Other definitions for slight that I've seen before include "Deliberately discourteous act" , "Snub - not much!" , "Insult, affront" , "Disregard - snub" , "Put down" .)