Died, face up in the drink (5)
I believe the answer is:
decaf
'the drink' is the definition.
(decaffeinated coffee)
'died face up in' is the wordplay.
'died' becomes 'd' (abbreviation next to the year of someone's death).
'up' is an anagram indicator (letters get chucked up).
'in' is an insertion indicator.
'face' anagrammed gives 'ecaf'.
'd' placed into 'ecaf' is 'DECAF'.
(Other definitions for decaf that I've seen before include "Non-alcoholic drink" , "Coffee without the kick?" , "Style of coffee" , "Type of coffee" , "Less stimulating coffee?" .)