The Collaborative International Dictionary of English v.0.48:

Cyrenaic \Cyr`e*na"ic\ (s?r`?-n?"?k or s?`r?-), a. [L.
   Cyrenaicus, fr. Cyrene, in Libya.]
   Pertaining to Cyrenaica, an ancient country of northern
   Africa, and to Cyrene, its principal city; also, to a school
   of philosophy founded by Aristippus, a native of Cyrene. --
   n. A native of Cyrenaica; also, a disciple of the school of
   Aristippus. See Cyrenian, n.
   [1913 Webster]