Dessert produced in the public house and by women's institute around Ring (7)
I believe the answer is:
tapioca
'dessert' is the definition.
(I've seen this before)
I don't understand the remainder of the clue.
(Other definitions for tapioca that I've seen before include "Starchy white substance used to make puddings" , "Pudding from the cassava root" , "Hard white cassava grains used for puddings" , "course" , "Milk pudding ingredient" .)