Pinkish local beef from game on the Moor (3,6)
I believe the answer is:
red grouse
'game on the moor' is the definition.
'red grouse' can be an answer for 'game' (I've seen this before). I'm not sure about the 'on the moor' bit.
'pinkish local beef' is the wordplay.
'pinkish local' becomes 'red' (I am not sure about this - if you are sure you should believe this answer much more).
'beef' becomes 'grouse' ('grouse' can be a synonym of 'beef').
'red'+'grouse'='RED GROUSE'
'from' is the link.
Can you help me to learn more?
(Other definitions for red grouse that I've seen before include "Moorland bird" , "Game bird" .)