Virtuous but cheats badly (6)

I believe the answer is:

chaste

'virtuous' is the definition.
(associated in meaning)

'cheats badly' is the wordplay.
'badly' indicates anagramming the letters.
'cheats' with letters rearranged gives 'CHASTE'.

'but' acts as a link.

(Other definitions for chaste that I've seen before include "Undefiled" , "Modest and virtuous" , "She-cat could be virtuous" , "Everlasting" , "Showing virtue of kind" .)

I've seen this clue in The Globe and Mail.

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