Reactionary new school lacking aspiration (6)

I believe the answer is:

narrow

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'reactionary' is the definition.
(reactionary can mean conservative or narrow-minded)

I can't explain the rest of the clue.

Can you help me to learn more?

(Other definitions for narrow that I've seen before include "Close shave" , "Conservative" , "Restricted in width." , "Restrict" , "Lacking tolerance" .)

I've seen this clue in The Times.

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