dont know how to spell it but it sounds like

eenie meenie meinie

dont know how to spell it but it sounds like

eenie meenie meinie

Dip dip sky blue, who's it? Not you.
Not because you're dirty, not because you're clean
Not because your mother says you're the fairy queen
O-U-T spells OUT.

(you could just use the first line!)

This is an older tongue twister, like Fischers Fritze: Peter Piper picked a peck of pickled pepper. Where's the peck of pickled pepper Peter Piper picked?

One potato, two potato, three potato, four. Five potato, six potato, seven potato, more. My mother told me to pick the very best one and you are not it.
(Played when all the children hold in their fists that perhaps look like potatos.)
OK, it does not rhyme, but it is how we used to choose it in all our games in the US.