Rabbit that might be served for breakfast (6)
I believe the answer is:
waffle
This clue could be a double definition.
'rabbit that might be' is the first definition.
'waffle' can be an answer for 'rabbit' (both can mean to talk excessively). I'm not certain of the rest of the definition.
'for breakfast' is the second definition.
(item which might be eaten at breakfast)
'served' acts as a link.
Can you help me to learn more?
(Other definitions for waffle that I've seen before include "Padding" , "Cake with grid-like surface" , "Crisp pancake with indents on both sides - talk aimlessly" , "Flannel" , "Prattle" .)