Derivative of Jane, with the addition of the suffix -ice, abstracted from girls' names such as Candice and Bernice. It seems to have been first used as the name of the heroine of the novel Janice Meredith by Paul Leicester Ford, published in 1899.
English: according to Reaney this is a nickname from an unattested Old English word cybbe meaning ‘clumsy’ or ‘thickset’. Reaney's speculation is apparently based on taking the Middle English word kibble ‘cudgel’ as a diminutive of an unattested Old English word. Corresponding personal names have been postulated for the place names Kibworth (‘enclosure of a man called Cybba’) and Kibblesworth (‘enclosure of a man called Cybbel’); so, in theory, the surname could be a reflex of these Old English personal names.