Self-important and overbearing (8)

I believe the answer is:

arrogant

'self-important and overbearing' is the definition.
(I've seen this before)

This is the entire clue.

(Other definitions for arrogant that I've seen before include "Overweening" , "Proud and contemptuous" , "Proud and overbearing, feeling superior" , "Haughty - imperious" , "Conceited, self-important" .)

I've seen this clue in The Irish Times.

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