Judging from the number of examples that I get on my website, and the number of examples I see posted on other websites, "BrickWall WaterFall" currently appears to be the most widely known handclap rhyme in the United States.

That rhyme was featured in the 2003 movie "Dickie Roberts: Former Child Star".

I posted three examples of that rhyme, and my thoughts on the sources of that rhyme in this Mudcat thread:

2026 Mudcat origins question

And here's another example of that rhyme that I received from a girl from England:

Brick wall Water Fall
When ur talking to me all im thinking is
Brickwall water fall, (name) thinks they no it all, You don't so i say boom wid that attutude pinch punch captin crucnch i have something you can't touch bang,bang cho cho tran you wind me up i do my thing no reason piece of 7up mess wid me i'll mess u up.
this is for girls of any years that want to show off

-kenisha, http://www.cocojams.com/taunting_rhymes.htm; 3/8/2006

-snip-

This rhyme 'fits' in the category of 'kid's rhymes that mention food and beverages' because of the references to "Captain Crunch" {cereal} and 7-Up {soft drink}. Other versions of this rhyme mention "tic tac" {candy/mouth freshners} and reeces pieces {candy}.