Swallow one drink (7)
I believe the answer is:
martini
'drink' is the definition.
(I know that Martini is a IBA Official Cocktail)
'swallow one' is the wordplay.
'swallow' becomes 'martin' (martin is a kind of swallow).
'one' becomes 'i' (Roman numeral).
'martin'+'i'='MARTINI'
(Other definitions for martini that I've seen before include "Alternative name for Simone Memmi, pre-Renaissance Italian painter" , "Type of Italian vermouth" , "In glass, one's dry" , "rifle" , "Cocktail made with gin or vodka and vermouth" .)