Burns Dot’s pies after messing up Chinese dish (5-4,4)
I believe the answer is:
birds-nest soup
'chinese dish' is the definition.
(I've seen this before)
'burns dot's pies after messing up' is the wordplay.
'after' means one lot of letters go next to another.
'messing up' is an anagram indicator (I've seen 'messed up' mean this).
'burns'+'dots'+'pies'='burnsdotspies'
'burnsdotspies' with letters rearranged gives 'BIRDS-NEST SOUP'.
(Other definitions for birds-nest soup that I've seen before include "Chinese delicacy" , "Chinese dish" .)