Short fat and very desirable! (4)
I believe the answer is:
plum
'very desirable' is the definition.
(plum can mean excellent)
'short fat' is the wordplay.
'short' means to remove the last letter.
'fat' becomes 'plump' (similar in meaning).
'plump' with its final letter removed is 'PLUM'.
'and' is the link.
(Other definitions for plum that I've seen before include "Fruit < that's highly desirable" , "Brilliant" , "Select" , "Damson-like fruit" , "First-class - fruit" .)