Crossword Genius

Something made for passageway (7)

Ross

I believe the answer is:

product

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'something made' is the definition.
I can't judge whether this definition defines the answer.

'for passageway' is the wordplay.
'for' becomes 'pro' (as in being 'pro' something).
'passageway' becomes 'duct' (duct is a kind of passageway).
'pro'+'duct'='PRODUCT'

Can you help me to learn more?

(Other definitions for product that I've seen before include "Manufactured article for sale" , "See 5" , "Drop cut (anag.)" , "Result of multiplication" , "Commodity offered for sale" .)

I've seen this clue in The Times.
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