My mother reports that schoolchildren of that era developed their own version of the jingle:
I'm Chiquita Banana, and I'm here to say,
Get rid of your teacher the easy way.
You just eat a banana, put the peel on the floor
And watch your teacher slide right out the door!
This is highly consistent with other schoolyard songs celebrating violent anarchy, such as "This land is my land" and "The Burning of the School" (which is sung to the tune of "The Battle Hymn of the Republic" -- must remember to investigate possible fruit connection).