Known for a variety of habits, nun already getting changed (5,2,3)

I believe the answer is:

danny la rue

'known for a variety of habits' is the definition.
(drag artist known for costumes or 'habits')

'nun already getting changed' is the wordplay.
'getting' is a charade indicator (letters next to each other).
'changed' indicates an anagram.
'nun'+'already'='nunalready'
'nunalready' is an anagram of 'DANNY LA RUE'.

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