Woodworker adds fish to log (9)

I believe the answer is:

carpenter

I'm a little stuck... Click here to teach me more about this clue!

'woodworker' is the definition.
(carpenter is a kind of woodworker)

'fish to log' is the wordplay.
'fish' becomes 'carp' (carp is a kind of fish).
'to log' becomes 'enter' (as in logging or entering information to a record).
'carp'+'enter'='CARPENTER'

'adds' is the link.
I am not very happy about this link. It may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for carpenter that I've seen before include "Craftsman" , "chips?" , "What Jesus was" , "tradesman" , "Walrus' companion" .)

I've seen this clue in The Telegraph.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.