Drink of character, say (3)
I believe the answer is:
tea
'drink' is the definition.
(tea is a drink)
'character say' is the wordplay.
'character' becomes 'T'.
'say' indicates a 'sounds like' (homophone) clue.
't' is a homophone of 'TEA'.
'of' is the link.
(Other definitions for tea that I've seen before include "Elevenses" , "Refresher course" , "Beverage from leaves" , "Shrub; drink" , "Assam, e.g." .)