It can be called a list (8)

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'list' is the definition.
(I know that list is a more specific form of the action register)

I don't understand the remainder of the clue.

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(Other definitions for register that I've seen before include "Index" , "Check in - catalogue" , "a manner of speaking" , "File, record" , "Written record of names, etc" .)

I've seen this clue in the Evening Standard.

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