Rich cake and a drink in heart of Burgundy (6)
I believe the answer is:
gateau
'rich cake' is the definition.
(I've seen this before)
'a drink in heart of burgundy' is the wordplay.
'drink' becomes 'tea' (tea is a kind of drink**).
'in' means one lot of letters goes inside another.
'heart of' means to look at the middle letters.
The middle letters of 'burgundy' are 'gu'.
'a'+'tea'='atea'
'atea' inserted inside 'gu' is 'GATEAU'.
'and' is the link.
(Other definitions for gateau that I've seen before include "rich food" , "Gooey cake" , "Cake (from the Black Forest?)" , "It's sweet" , "Something French for 22?" .)