Crossword Genius

Strict new school for Cockneys (6)

Ross

I believe the answer is:

narrow

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'strict' is the definition.
(narrow can mean strict or precise)

'new school for cockneys' is the wordplay.
I cannot quite see how this works, but
'new' could be 'n' (common abbreviation eg NT for New Testament) and 'n' is present in the answer.
The remaining letters 'arrow' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for narrow that I've seen before include "Thin; taper" , "Restricted in width." , "Strict" , "Strait or thin" , "Become restricted" .)

I've seen this clue in The Times.
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