Tea dance (a third one) (4)

I believe the answer is:

chai

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'tea' is the definition.
(I've seen this before)

'dance a third one' is the wordplay.
'dance a third' becomes 'cha' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'one' becomes 'i' (Roman numeral).
'cha'+'i'='CHAI'

Can you help me to learn more?

(Other definitions for chai that I've seen before include "Form of tea" , "lady" .)

I've seen this clue in The Independent.

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