Greek character died in wet earth (3)
I believe the answer is:
mud
'wet earth' is the definition.
(I've seen this before)
'greek character died' is the wordplay.
'greek character' becomes 'mu' (letter from the Greek alphabet**).
'died' becomes 'd'.
'mu'+'d'='MUD'
'in' is the link.
(Other definitions for mud that I've seen before include "Sludge" , "-, -, Glorious - (Flanders and Swann)" , "In your eye, this is an informal toast" , "Wet soil" , "Mire" .)