exigent (EK-si-jent) adjective 1. Requiring urgent attention. 2. Demanding; exacting. [From Latin exigent-, stem of exigens, present participle of exigere (to demand, to drive out), from ex- + agere (to drive). Ultimately from the Indo-European root ag- (to drive, draw) that is also the source of... Sign in to see full entry.