Author's 'name' – one's nameless, primarily? (4)
I believe the answer is:
anon
'author's' is the definition.
(I have seen 'prolific author' mean 'anon' so perhaps 'author' could also mean 'anon')
'name one's nameless primarily?' is the wordplay.
'name' becomes 'an' (I am not sure about this - if you are sure you should believe this answer much more).
'primarily?' says to take the initial letters (I've seen 'primarily' mean this).
The first letters of 'ones nameless' is 'on'.
'an'+'on'='ANON'
Can you help me to learn more?
(Other definitions for anon that I've seen before include "Soon or presently" , "Soon, in a little while" , "Soon, precious stone" , "Well-published writer" , "Of unknown authorship" .)