Dessert of Middle Eastern origin consisting of thin layers of pastry filled with nuts and honey (7)
I believe the answer is:
baklava
(Other definitions for baklava that I've seen before include "Pastry filled with nuts and honey" , "Middle Eastern dessert of filo pastry, honey and chopped nuts" , "Sweet thing" , "Turkish delight?" , "Rich Middle Eastern cake with nuts and honey" .)