One gets drunk in factory on small volume (10)

I believe the answer is:

millilitre

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

'small volume' is the definition.
The answer and definition can be both quantities as well as being singular nouns.
Maybe you can see an association between them that I can't see?

'one gets drunk in factory on' is the wordplay.
'one' becomes 'i' (Roman numeral).
'gets drunk in' becomes 'litre' (I am not sure about this - if you are sure you should believe this answer much more).
'factory' becomes 'mill' (synonyms).
'on' means one lot of letters go next to another.
'i'+'litre'='ilitre'
'ilitre' after 'mill' is 'MILLILITRE'.

Can you help me to learn more?

(Other definitions for millilitre that I've seen before include "Small measure of liquid" , "Cubic centimetre" .)

I've seen this clue in The Daily Mail.

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