Drink and drive round (4,3)

I believe the answer is:

milk run

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'round' is the definition.
Both the definition and answer are singular nouns.
Maybe there's an association between them I don't understand?

'drink and drive' is the wordplay.
'drink' becomes 'milk' (milk is a kind of drink).
'and' says to put letters next to each other.
'drive' becomes 'run' (synonyms).
'milk'+'run'='MILK RUN'

Can you help me to learn more?

(Other definitions for milk run that I've seen before include "Routine journey" , "Routine flight" , "routine trip" .)

I've seen this clue in The Telegraph.

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