Crossword Genius

Pub-o’clock, getting round in very quickly (2,2,4)

Ross

I believe the answer is:

in no time

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

'pub-o'clock getting round' is the wordplay.
'pub' becomes 'inn' (an inn is a type of pub).
'o'clock' becomes 'time' (I can't justify this - if you can you should believe this answer much more).
'getting' is a charade indicator (letters next to each other).
'round' becomes 'o' (o is a circular letter).
'time' put after 'o' is 'otime'.
'inn'+'otime'='IN NO TIME'

'in' is the link.

Can you help me to learn more?

(Other definitions for in no time that I've seen before include "Very rapidly - but sounds impossible?" , "Very quickly" , "Very rapidly, hardly measurable" , "Immediately" , "Swiftly" .)

I've seen this clue in The Times.
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