Crime writer's chapter, right after name (8)
I believe the answer is:
Here is my best explanation:
'crime writer's' is the definition.
'chandler' can be an answer for 'writer's' (I've seen this before). I'm not certain of the 'crime' bit.
'chapter right after name' is the wordplay.
'chapter' becomes 'c'.
'right' becomes 'r' (common abbreviation).
'after' is a charade indicator (letters next to each other).
'name' becomes 'handle' ().
'r' put after 'handle' is 'handler'.