Insect, queen having drink (4)
I believe the answer is:
beer
'drink' is the definition.
(beer is a kind of drink)
'insect queen' is the wordplay.
'insect' becomes 'bee' (bee is a kind of insect).
'queen' becomes 'r' (r is abbreviation regina. e.g. in ER ).
'bee'+'r'='BEER'
'having' is the link.
(Other definitions for beer that I've seen before include "Drink brewed with malt" , "Fermented alcoholic beverage" , "The standard English drink" , "See 4 down" , "Ale, lager etc" .)