Writing having points to express (5)
I believe the answer is:
essay
'writing' is the definition.
(I know that essay is a type of writing)
'points to express' is the wordplay.
'points' becomes 'es' (E is an example).
'to express' becomes 'say' (saying is a kind of expressing).
'es'+'say'='ESSAY'
'having' is the link.
(Other definitions for essay that I've seen before include "example of Hazlitt's work" , "Try; a piece of writing" , "Make an effort or attempt" , "Try - composition" , "Analytic or interpretive literary composition (5_" .)