After firstly writing off Clyde & Son (8)
I believe the answer is:
secondly
'after firstly' is the definition.
I can't judge whether this definition defines the answer.
'off clyde son' is the wordplay.
'off' indicates an anagram.
'clyde'+'son'='clydeson'
'clydeson' anagrammed gives 'SECONDLY'.
'writing' is the link.
Can you help me to learn more?
(Other definitions for secondly that I've seen before include "Not in first place" , "Next after firstly" .)