In London in the late 40s / early 50s we played 'skipping' with the the rhymne
I like coffee, I like tea , I like --- in with me.
I don't like coffee, I don't like tea, I don't like --- in with me.

At the time it was an all white school, there had not been much imigration then. I didn't skip much, I assume that the first player called the second in, and then jumped out herself, but am not sure.

The Hand Jive that I remember didn't involve clapping, it was a rhythmic hand movement popular in the 80s or 90s. We used to watch a TV programme called 'Blockbusters' were pairs of students competed to answer questions (with the initial letters of the answer given, the answer giving a block in a noughts and crosses type grid). At the end of the programme they showed a shot of the students in the audience doing a hand-jive in unison to the signature tune.