Crossword Genius

A small quantity to drink up in Italy (4)

Ross

I believe the answer is:

pisa

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

'in italy' is the definition.
(Pisa is a city in Italy)

'a small quantity to drink up' is the wordplay.
I cannot really see how this works, but
'a' is present in the answer.
'small' could be 's' (abbreviation - e.g. clothes size) and 's' is present in the answer.
'quantity' could be 'pi' (pi is a kind of quantity) and 'pi' is found within the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for pisa that I've seen before include "much-visited city" , "Location of leaning tower" , "There's a marked inclination here" , "Place with leaning tower" , "City in Tuscany" .)

I've seen this clue in The Irish Independent.
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