Crossword Genius

Piece of fish, I note, not unlimited (6)

Ross

I believe the answer is:

finite

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

'unlimited' is the definition.
Both the definition and answer are adjectives. Maybe you can see an association between them that I can't see?

'piece of fish i note not' is the wordplay.
'piece of' says to take the initial letters.
'note not' becomes 'nite' (I am not sure about this - if you are sure you should believe this answer much more).
The initial letter of 'fish' is 'f'.
'f'+'i'+'nite'='FINITE'

Can you help me to learn more?

(Other definitions for finite that I've seen before include "Having set limits" , "Bounded or limited" , "Having limit, not endless" , "Circumscribed" , "Bounded, having limits" .)

I've seen this clue in The Guardian.
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