Crossword Genius

A judge comes down on US guitar hero (classical) (4)

Ross

I believe the answer is:

ajax

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

'us guitar hero classical' is the definition.
I can't judge whether this definition defines the answer.

'a judge comes down' is the wordplay.
'judge' becomes 'J' (abbreviation for judge).
'comes down' becomes 'ax' (I can't justify this - if you can you should believe this answer much more).
'a'+'j'+'ax'='AJAX'

'on' is the link.

Can you help me to learn more?

(Other definitions for ajax that I've seen before include "Ancient Greek hero" , "classic war hero" , "Cleaner" , "Hero of Greek mythology" , "old privy" .)

I've seen this clue in The Times.
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