Hey hey little playmate

A hand-clapping game that little girls have played since at least the 1920's. I learned it in kindergarten, along with the delightfully naughty song "Miss Susie".

Hey hey little playmate
Come out and play with me
and bring your dollies three
climb up my apple tree
climb up my rain barrel
slide down my cellar door
and we'll be jolly friends
forever more, more more!

Notes:

Yes, you can slide down a cellar door. Some cellars have doors that are next to the house -- big metal sloping things with handles, that you can run up and slide down if you are about 4 years old.

Cici my playmate
come out and play with me
and bring your dollies three
climb up my apple tree
Slide down my rainbow
into my cellar door
and we'll be jolly friends
forever more, 1 2 3 4.

The last line variation is common to a lot of these hand clapping games; counting is found replacing words all the time. Also, sliding down the rainbow is a newer concept, probably from the puff the magic dragon period of childhood learning, however it lends to a great line in the next song:

Cici my enemy,
come out and fight with me
and bring your handguns three
climb up my poison tree
Slide down my razor blade
into my dungeon door
and we'll be hateful enemies
forever more, 1 2 3 4