Minor branch organised by prigs (5)
I believe the answer is:
sprig
'minor' is the definition.
(thesaurus)
'branch organised by prigs' is the wordplay.
'prigs' can be anagrammed to 'SPRIG'.
However, I am unsure how this is indicated.
Can you help me to learn more?
(Other definitions for sprig that I've seen before include "Small stem with leaves or flowers" , "Younger member of family" , "Stem or spray" , "Spray or twig" , "Small twig" .)