"Hippity Hop" is a skipping rhyme. Another version is "Hippity Hop to the Barber's Shop"

Hippity Hop to the Grocer's Shop - American Children's Songs - The USA - Mama Lisa's World: Children's Songs and Rhymes from Around the World  - Intro Image

Notes

*Or "a stick" or "three sticks".

Here's another version of this rhyme:

Hippity Hop to the Barber's Shop

Hippity Hop to the Barber's Shop
To buy a stick of candy
One for you and one for me
And one for sister Mandy.

Thanks and Acknowledgements

This rhyme can be found in On the Tree Top by Clara Doty Bates, illustrated by F.T. Merrill and Jessie Curtis (Boston, 1881).

Thanks so much!