I learned it at a camp near Kansas City in the 70s - Timber Trails, I was pretty little but here’s what I remember:

Once there was a Chinese man
his name was Chic-a-rah Ching Chong Chan
His legs were long his feet were short
This little man couldn’t walk or talk

Chic-a-rah Ching Chong Chan chic-a-rah rah
Boom diddy oh-rah, Woody woody oh-rah
Oak-ah oak-ah oak-ah tiddy-fie tiddy-fie tiddy-fie That Chinese man