When I was a kid, we often had bananas in the house. Whenever I would complain about being hungry, my mother would say, “havabanana”. Not “Have a banana”, but would really run it together, like she was using it as a term. I always thought it was something you cooked up herself, but after seeing this ad posted by jbcurio, I am not so sure.
I think my Mother might have been in cahoots with United Fruit as some sort of “spokesmom”.