Greater or more important (5)

I believe the answer is:

major

This clue is a double definition.

'greater' is the first definition.
(I've seen this in another clue)

'more important' is the second definition.
(I've seen this before)

(Other definitions for major that I've seen before include "Officer with crown" , "Commissioned military officer" , "John --, prime minister" , "John --, ex-PM" , "Leading - ex-Prime Minister" .)

I've seen this clue in The Mirror.

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