The Collaborative International Dictionary of English v.0.48:
Exilic \Ex*il"ic\, a. Pertaining to exile or banishment, esp. to that of the Jews in Babylon. --Encyc. Dict. [1913 Webster]WordNet (r) 3.0 (2006):
exilic adj 1: of or relating to a period of exile (especially the exile of the Jews known as the Babylonian Captivity)