Doctor to reuse missing English vehicle (10)

I believe the answer is:

motorcycle

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'vehicle' is the definition.
(motorcycle is a kind of vehicle)

'doctor to reuse missing english' is the wordplay.
'doctor' becomes 'moto' (I am not sure about this - if you are sure you should believe this answer much more).
'to reuse' becomes 'recycle' ('recycle' can be a synonym of 'reuse').
'missing' suggests deleting specific letters.
'english' becomes 'e' (abbreviation).
'recycle' with 'e' taken away is 'rcycle'.
'moto'+'rcycle'='MOTORCYCLE'

Can you help me to learn more?

(Other definitions for motorcycle that I've seen before include "It's used for scrambling" , "Triumph for rider, perhaps" , "Petrol-driven two-wheeler" , "Two-wheeled vehicle" , "transport" .)

I've seen this clue in The Times.

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