Regret cavorting but disobedient at heart (3)

I believe the answer is:

rue

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'regret' is the definition.
(to rue something is to regret it)

'cavorting but disobedient at heart' is the wordplay.
'cavorting but' becomes 'ru' (I can't justify this - if you can you should give a lot more credence to this answer).
'at heart' means to look at the middle letters.
The centre of 'disobedient' is 'e'.
'ru'+'e'='RUE'

Can you help me to learn more?

(Other definitions for rue that I've seen before include "Nice way" , "The 'herb of grace'" , "Regret; road (Fr.)" , "Feel sorry" , "Feel bad" .)

I've seen this clue in The Independent.

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