Doctor on Circle Line gets stuck in to a game of chance (7)

I believe the answer is:

tombola

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'game of chance' is the definition.
(I know that Tombola is a game of chance)

'doctor on circle line gets stuck in to a' is the wordplay.
'doctor on' becomes 'mb' (Bachelor of Medicine, Medicinae Baccalaureus. I am not sure about the 'on' bit.).
'circle' becomes 'O' (O is a circle).
'line' becomes 'l' (used when specifying particular lines from a poem).
'gets stuck in' means one lot of letters goes inside another.
'mb'+'o'+'l'='mbol'
'to'+'a'='toa'
'mbol' put within 'toa' is 'TOMBOLA'.

Can you help me to learn more?

(Other definitions for tombola that I've seen before include "Form of lottery" , "Lamb too (anag) - game with prizes" , "Fete game" , "Kind of lottery draw using a revolving drum" , "Lottery at fetes etc" .)

I've seen this clue in The Independent.

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