Cake served with a drink in Burgundy's centre (6)
I believe the answer is:
gateau
'cake' is the definition.
(I know that gateau is a type of cake)
'a drink in burgundy's centre' is the wordplay.
'drink' becomes 'tea' (tea is a drink).
'in' means one lot of letters goes inside another.
'centre' indicates the central letters.
The centre of 'burgundy' is 'gu'.
'a'+'tea'='atea'
'atea' placed inside 'gu' is 'GATEAU'.
'served with' acts as a link.
(Other definitions for gateau that I've seen before include "Cake for Pierre" , "named for Black Forest?" , "(French?) cake" , "Calorie-laden cake" , "It's sweet" .)