Ascribe to narrowing of narrow opening (8)

I believe the answer is:

arrogate

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'ascribe' is the definition.
(synonyms)

'narrowing of narrow opening' is the wordplay.
'narrowing' becomes 'arr' (I am not sure about this - if you are sure you should believe this answer much more).
'of' becomes 'o''.
'narrow opening' becomes 'gate' (I've seen this before).
'arr'+'o'+'gate'='ARROGATE'

'to' acts as a link.

Can you help me to learn more?

(Other definitions for arrogate that I've seen before include "Assume" , "Falsely claim" , "Appropriate" , "Unjustifyingly claim ones rights" , "Claim for oneself without justification" .)

I've seen this clue in the Sydney Morning Herald.

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