Little time to get tea or coffee (5)
I believe the answer is:
mocha
'coffee' is the definition.
(type of coffee drink)
'little time to get tea' is the wordplay.
'little time' becomes 'mo' (short period of time).
'to get' means one lot of letters go next to another.
'tea' becomes 'cha' (cha is a type of tea).
'mo'+'cha'='MOCHA'
'or' acts as a link.
(Other definitions for mocha that I've seen before include "Arabian coffee" , "Macho (anag.); coffee with chocolate" , "Strong dark coffee" , "Dark brown" , "Yemeni port; type of coffee bean" .)