A drink that has character, we’re told (3)
I believe the answer is:
tea
'a drink' is the definition.
(tea is a drink)
'character we're told' is the wordplay.
'character' becomes 't'.
'we're told' shows a homophone (sound like).
't' sounds like 'TEA'.
'that has' is the link.
(Other definitions for tea that I've seen before include "- - for Two (song)" , "Lapsang souchong" , "Afternoon or evening meal" , "Cha" , "Elevenses" .)