Very interesting how these rhymes etc. are spread across continents.
Version of the above, called "Jackalo", as a handclapping song, played by middle-class white British girls in private school, Essex, just outside Greater London, end 20th/beginning 21st century:
My name is [each partner holds hands together, palm to palm, as if "praying", then each pair of hands brushes the other]
Hands now parted. Partners face each other. [Whilst the rest of the song is sung, left hand is held straight out, as if waiting to shake hands. Right hands meet, high and low, to match the rhythm of the song]:
Hi, low, Jackalo, Jackalo, Jackalo, Hi, low, Jackalo, Jackalo and HIGH !