Fruit that's big in New York (5)
I believe the answer is:
apple
I believe this is a double definition.
'fruit' is the first definition.
(apple is a kind of fruit)
'big in new york' is the second definition.
(I've seen this before)
'that's' acts as a link.
(Other definitions for apple that I've seen before include "Jonathan, for example" , "Cooker possibly" , "Crab, cooking or eating fruit" , "German fruity dessert" , "Delight (of one's eye)" .)