Many got so confused about right art of fine dining (10)
I believe the answer is:
gastronomy
'art of fine dining' is the definition.
(gastronomy is cooking or choosing fine food)
'many got so confused about right' is the wordplay.
'confused' indicates an anagram.
'about' means one lot of letters goes inside another.
'right' becomes 'r' (common abbreviation).
'many'+'got'+'so'='manygotso'
'manygotso' is an anagram of 'gastonomy'.
'gastonomy' placed around 'r' is 'GASTRONOMY'.
(Other definitions for gastronomy that I've seen before include "Art of good eating" , "Practice of preparing and eating good food" , "Art of eating well" , "Art of good-eating" , "Culinary art" .)