Doctor taking walk round reveals stratagem (6)

I believe the answer is:

gambit

I'm a little stuck... Click here to teach me more about this clue!

'stratagem' is the definition.
(I know that stratagem can be written as gambit)

'doctor taking walk round' is the wordplay.
'doctor' becomes 'MB' (Bachelor of Medicine, Medicinae Baccalaureus).
'taking walk' becomes 'gait' (gait is a kind of walk. I am not sure about the 'taking' bit.).
'round' indicates putting letters inside.
'mb' placed inside 'gait' is 'GAMBIT'.

'reveals' acts as a link.

Can you help me to learn more?

(Other definitions for gambit that I've seen before include "Opening chess move" , "Opening comment" , "Sacrificial strategy in chess" , "Eg, minestrone" , "play involving sacrifice" .)

I've seen this clue in The Sun and The Times.

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