I have words, though my version has rabbits, not monkeys. I know it as a spoken verse, not a song. I do not know the origin.
I know something I won't tell,
Three little rabbits in a peanut shell.
One can sing, one can dance,
One can sew a pair of pants.
I recite this rhythmically with/for young children using hand motions. i repeat, each time leaving off a line, mouthing the unspoken words and continuing the hand motions. After the whole verse has been done wordlessly, I repeat a final time with a louder voice.