Steven Spielberg used a clapping rhyme in the shocking opening of The Color Purple, when two little girls are playing a clapping game in a cornfield, then one comes out from behind the corn and you see that she's heavily pregnant.

I well remember the gasp of horrified sorrow that came from the Dublin audience the first time I saw that film.

There's a brilliant book - probably long out of print - called All In, All In, which had a bunch of the rhymes used in Ireland. (The name comes from the Irish equivalent of Ally-Ally-Oxenfree, which was a chant of "All in, all in, the game's broke up".)