Our "clapping song" (don't think there was an "It" either - I seem to remember this as a jumprope rhyme) went:

I woke up Sunday morning
And looked upon the wall
The beetles and the bedbugs
Were having a game of ball
The score was six to nothing
The beetles were ahead
A bedbug hit a home run
And knocked me out of bed

I had to stop myself spelling it "beatles"...