The word "cerebellic" refers to something related to the cerebellum, a part of the brain that is responsible for coordinating movement and balance. The correct spelling of the word is /sɛrəˈbɛlɪk/, with the stress on the second syllable. The "cerebell-" prefix comes from the Latin word for "little brain," while the "-ic" suffix indicates that it is an adjective. Proper spelling is important in order to communicate accurately and effectively.
Cerebellar.
A practical medical dictionary. By Stedman, Thomas Lathrop. Published 1920.