Disturbing a French kid he produces a nose rag (12)
I believe the answer is:
handkerchief
'a nose rag' is the definition.
(I've seen this before)
'disturbing a french kid he' is the wordplay.
'disturbing' is an anagram indicator (I've seen this in other clues).
'a'+'french'+'kid'+'he'='afrenchkidhe'
'afrenchkidhe' with letters rearranged gives 'HANDKERCHIEF'.
'produces' acts as a link.
(Other definitions for handkerchief that I've seen before include "Nose wiper" , "Sneeze catcher" , "Bandanna" , "Suit pocket accessory" , "Nose rag" .)