Cook trims duck and piece of chicken (9)
I believe the answer is:
drumstick
'piece of chicken' is the definition.
(I've seen this before)
'cook trims duck' is the wordplay.
'cook' indicates an anagram.
'trims'+'duck'='trimsduck'
'trimsduck' anagrammed gives 'DRUMSTICK'.
'and' acts as a link.
(Other definitions for drumstick that I've seen before include "a bit of leg?" , "piece of chicken?" , "Tibia of dressed fowl" , "Leg joint of a cooked chicken" , "What beats" .)