Icing team arranged as a puzzle (9)

I believe the answer is:

enigmatic

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'as a puzzle' is the definition.
I can't judge whether this defines the answer.

'icing team arranged' is the wordplay.
'arranged' indicates anagramming the letters (letters rearranged).
'icing'+'team'='icingteam'
'icingteam' with letters rearranged gives 'ENIGMATIC'.

Can you help me to learn more?

(Other definitions for enigmatic that I've seen before include "Puzzling, like the Sphinx" , "with mysterious substance" , "Obscure, puzzling" , "with a mystery ingredient" , "Ambiguous or puzzling" .)

I've seen this clue in the Sydney Morning Herald.

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