Catch them having abruptly torn these up, being utterly spoiled (6)

I believe the answer is:

rotten

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

I don't understand how the remainder of the clue works.

(Other definitions for rotten that I've seen before include "Suffering from decay" , "Decayed or morally corrupt" , "Nasty" , "Corrupt; very bad" , "Falling to pieces from age or morally contemptible" .)

I've seen this clue in The Irish Times.

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