Your right, it’s not Flight of the Bumblebee. I must have only half listened to it. I think “Sabre Dance” is the right answer, but I’m not completely sure.
I can’t hear Sabre Dance without thinking of Oscar Levant playing piano at a party in one of those musicals with Fred Astaire (maybe The Barkleys of Broadway?):
Levant: What does everyone want to hear?
Audience: (Lots of responses jumbled together)
Levant: Sabre Dance?
Audience as one: NO!!!
Levant: Well, OK then! (Launches vigorously into Sabre Dance.)