Belittle each new writer (7)
I believe the answer is:
cheapen
'belittle' is the definition.
(I've seen this in another clue)
'each new writer' is the wordplay.
'new' indicates an anagram.
'writer' becomes 'pen' (something which writes).
'each' is an anagram of 'chea'.
'chea'+'pen'='CHEAPEN'
(Other definitions for cheapen that I've seen before include "Reduce worth, degrade" , "decrease in value" , "Reduce the price of" , "Depreciate" , "Decry or devalue" .)