The sources checked do not record chibbi as a name or give it a meaning.
Affection
Cute
White, Brown, Black, Tan, Cream
Small
Unisex
Japanese
C
6 Letters
Italian for 'darling' or 'cute'
Recorded as a feminine given name in Japanese and Jurchen
Recorded as an italian feminine given name
The Cocopah, Native Americans of Baja California, Mexico, and Arizona