Just in the interest of keeping this going… this is the version I remember from the early 80’s back in Dallas…

Eeny meenie pepsodini
Oop bop bop-sodini
Education, neveration
I love you
Tutti Fruity

Down down baby
Down by the rollercoaster
Sweet, sweet cindy
I’ll never let you go

Shamrock shamrock
Shamma Shamma, shamrock

Caught you with your boyfriend
Naughty, naughty
Stole a piece of candy
Greedy, greedy
Jumped out the window
Crazy, crazy

Shimmy shimmy coco pop
Shimmy shimmy pow
Shimmy shimmy coco pop
Shimmy shimmy pow

Eeny meenie pepsodini
Oop bop bop-sodini
Education, neveration
I love you
Tutti Fruity

(and then for some reason you tried to tickle each other. got no idea where that came from!)