Who cares about the writer a little? (8)
I believe the answer is:
somewhat
'a little?' is the definition.
(thesaurus)
'who cares about the writer' is the wordplay.
'who cares' becomes 'sowhat' (I've seen this in another clue).
'about' indicates putting letters inside.
'the writer' becomes 'me' (the person who wrote the clues).
'sowhat' going around 'me' is 'SOMEWHAT'.
(Other definitions for somewhat that I've seen before include "To a certain degree - a bit" , "Moderately" , "To a certain extent" , "up to a point" , "To some degree, sort of" .)