Nut relied on organising break (9)
I believe the answer is:
interlude
'break' is the definition.
(thesaurus)
'nut relied on organising' is the wordplay.
'on' says to put letters next to each other.
'organising' is an anagram indicator.
'nut' after 'relied' is 'reliednut'.
'reliednut' with letters rearranged gives 'INTERLUDE'.
(Other definitions for interlude that I've seen before include "Pause" , "Short performance during an interval" , "Entr'acte" , "Break in performance" , "Breathing space" .)