Dish gets complaint by duke (4,10)
I believe the answer is:
beef wellington
'dish' is the definition.
(beef Wellington is a kind of dish)
'complaint by duke' is the wordplay.
'complaint by' becomes 'beefw' (I can't explain this - if you can you should give a lot more credence to this answer).
'duke' becomes 'ellington' (I've seen this in another clue).
'beefw'+'ellington'='BEEF WELLINGTON'
'gets' is the link.
Can you help me to learn more?
(Other definitions for beef wellington that I've seen before include "Meat-in-pastry dish" , "dish - with 10a" , "meal" , "Menu item" , "meat dish" .)