Writer producing short piece of verse (3)
I believe the answer is:
poe
'writer' is the definition.
(Edgar Allan Poe)
'short piece of verse' is the wordplay.
'short' means to remove the last letter.
'piece of verse' becomes 'poem' (I've seen this before).
'poem' with its last letter taken off is 'POE'.
'producing' is the link.
(Other definitions for poe that I've seen before include "He wrote short stories" , "Author of The Murders in the Rue Morgue" , "American author, d. 1849" , "Edgar Allan --, US writer" , "The Raven poet" .)