Chicken order is handled poorly (5,6,3)
I believe the answer is:
rhode island red
'chicken' is the definition.
(Rhode Island red is an example)
'order is handled poorly' is the wordplay.
'poorly' indicates an anagram.
'order'+'is'+'handled'='orderishandled'
'orderishandled' with letters rearranged gives 'RHODE ISLAND RED'.
(Other definitions for rhode island red that I've seen before include "Fowl" , "New England communist" , "American Communist" , "Chicken breed" , "possible victim of battery" .)