A member ran into criticism about arena (12)

I believe the answer is:

amphitheatre

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'arena' is the definition.
(I know that amphitheatre is a type of arena)

I don't understand the remainder of the clue.

(Other definitions for amphitheatre that I've seen before include "Arena; gallery tier" , "Classical home for drama" , "Open auditorium" , "Theatre gallery seating area" , "Classical performance area" .)

I've seen this clue in The Times.

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