Jump rope rhyme:

A sailor went to sea sea sea
To see what he could see see see
But all that he could see see see
Was the bottom of the deep blue sea sea sea

Many jump-rope rhymes double as hand clapping games, and viz-versa, but some rhymes are specific to one or the other.

Hand-clapping game. All the children stand in a circle where everyone's palm-up right hand rests on the palm-up left hand of the person next to them. Then the right hand comes over and hits the right hand of the person to their left, throughout the rhyme until the word "dong." Whoever is "it" on "dong" is out for the rest of the round.

Down by the banks of the hanky-panky where the bullfrogs jump from bank to banky
With an a-e-i-o-u-pick-a-dilly-with-a-ding-dong.
Another clapping game, known as early as 1st or 2nd grade:

Miss Suzy had a steamboat
The steamboat had a bell
The steamboat went to heaven
Miss Suzy went to hell--o operater
Please give me number 9,
and if you disconnect me, I'll kick you from
behind the 'fridgerator, there was a piece of glass
Miss Suzy sat upon it, and broke her little ask
me no more questions, I'll tell you no more lies
The boys are in the bathroom, zipping up their
Flies are in the city, the bees are in the park
Miss Suzy and her boyfriend are kissing in the
D-A-R-K, D-A-R-K, dark!