Figure corporation should receive a prize for corruption (9)
I believe the answer is:
trapezium
'figure' is the definition.
(trapezium is a kind of figure)
'corporation should receive a prize for corruption' is the wordplay.
'corporation' becomes 'tum' ('corporation' can humorously mean belly fat).
'should receive' indicates putting letters inside.
'for corruption' indicates an anagram (I've seen this in other clues).
'a'+'prize'='aprize'
'aprize' is an anagram of 'rapezi'.
'tum' going around 'rapezi' is 'TRAPEZIUM'.
(Other definitions for trapezium that I've seen before include "Type of quadrilateral" , "Four-sided figure" , "Geometric shape" , "Form of quadrilateral" , "Quadrilateral with a parallel pair of sides" .)