Another drink shortly served up for serious criminal (5)
I believe the answer is:
lifer
'serious criminal' is the definition.
(someone serving a life sentence in prison)
'another drink shortly served up' is the wordplay.
'another drink' becomes 'refill' (I've seen this before).
'shortly' means to remove the last letter.
'served up' says the letters should be written in reverse.
'refill' with its final letter removed is 'refil'.
'refil' in reverse letter order is 'LIFER'.
'for' acts as a link.
(Other definitions for lifer that I've seen before include "Serious criminal" , "person given sizeable bird" , "Convicted murderer, say" , "Con" , "Prisoner serving the maximum term" .)