This rhyme is most known in the South and is commonly called "Creep Mouse".

Notes

According to the book, "The Facts On File Dictionary of American Regionalisms" (2000) by Robert Hendrickson: The idea of the game is to pretend a mouse is running over the kid. Furthermore: "The usage of creepmouse is first recorded in 1899."

Game Instructions

1. Start a finger walking up the leg from the foot.
2. Walk finger up the leg to the body.
3. Continue up to the neck.
4. Tickle!

Comments

According to Wikipedia: "Creep Mouse is an informal game played with babies. In the game, one (child, teenager, or adult) marching his or her two fingers up from the infant's toes towards the baby's midsection, reciting a rhythmic verse something like 'Here, comes, the, creep, mouse, from, the, barn, into, the, house' once the walking fingers reach the midsection, the baby is then tickled and the sounds 'giddy giddy getchya' are made, much to the baby's amusement. This game is often repeated with an increased cadence with each round."

Watch
The words to the rhyme in the video below are, "Here comes the creepy mouse!" It's repeated over and over again.
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The words to the rhyme in the video below are,"Creepmouse, creepmouse, creeping up to my house!" It's only recited near the beginning of the video.
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Thanks and Acknowledgements

Many thanks to Meg for sharing this tickling rhyme!