Drink second drink (5)
I believe the answer is:
mocha
'drink' is the definition.
(coffee-based drink)
'second drink' is the wordplay.
'second' becomes 'mo' (both are short periods of time).
'drink' becomes 'cha' (cha can mean tea).
'mo'+'cha'='MOCHA'
(Other definitions for mocha that I've seen before include "Coffee flavour" , "Strong dark coffee" , "It may end up as grounds" , "Kind of coffee" , "Coffee drink" .)