Detectives, with hesitation, get a drink (5)
I believe the answer is:
cider
'a drink' is the definition.
(I know that cider is a type of drink)
'detectives with hesitation' is the wordplay.
'detectives' becomes 'CID' (abbreviation for Criminal Investigation Department).
'with' means one lot of letters go next to another.
'hesitation' becomes 'er' (sound made while hesitating - um, er).
'cid'+'er'='CIDER'
'get' acts as a link.
(Other definitions for cider that I've seen before include "Alcoholic drink (to be taken with Rosie?)" , "Beverage from apple juice" , "Drink made from apple juice" , "Alcoholic drink from fermented apple juice" , "Apple-based beverage" .)