Shoot the rotten prigs! (5)
I believe the answer is:
sprig
'shoot' is the definition.
(I've seen this before)
'rotten prigs' is the wordplay.
'rotten' indicates anagramming the letters.
'prigs' with letters rearranged gives 'SPRIG'.
'the' acts as a link.
(Other definitions for sprig that I've seen before include "Spray or twig" , "Spray - youngster" , "Small stem taken from a bush or plant" , "Young person" , "Younger member of family" .)