Crossword Genius

Gentle progress of doctor overcome by beer (5)

Ross

I believe the answer is:

amble

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'gentle progress' is the definition.
The answer and definition can be both acts as well as being singular nouns.
Maybe you can see a link between them that I can't see?

'doctor overcome by beer' is the wordplay.
'doctor' becomes 'mb' (Bachelor of Medicine, Medicinae Baccalaureus).
'overcome by' means one lot of letters goes inside another.
'beer' becomes 'ale' (type of beer).
'mb' inserted into 'ale' is 'AMBLE'.

'of' is the link.

Can you help me to learn more?

(Other definitions for amble that I've seen before include "Mosey (along)" , "Blame for slow walk" , "Stroll, saunter" , "Toddler does this" , "Go at a leisurely gait" .)

I've seen this clue in The Sun.
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