There was a Farmer who had a Dog named BINGO

B-I-N-G-O!

Clapping and singing "There was a farmer..." little A has finished his food so quickly! We had a CD of nursery rhymes, and one of A's favourites was about a farmer who had a dog whose name (Wikipedia says it's the farmer's name, but I think it's the dog's) was B-I-N-G-O.

In fact, the rhyme is anything but about them. All it says is

There was a farmer had a dog,
And Bingo was his name-o.
B-I-N-G-O, B-I-N-G-O
B-I-N-G-O
And Bingo was his name-o!

You just keep repeating these lines, clapping every time you spell Bingo and with every repetition stop pronouncing one letter.

So the next repetition goes like this:
There was a farmer had a dog,
And Bingo was his name-o.
Clap-I-N-G-O, Clap-I-N-G-O
Clap-I-N-G-O
And Bingo was his name-o!

And then you go:
There was a farmer had a dog,
And Bingo was his name-o.
Clap-Clap-N-G-O, Clap-Clap-N-G-O
Clap-Clap-N-G-O
And Bingo was his name-o!

If you can find a sillier, simpler and more addictive rhyme for kids, please let me know.