Definition of exigency in the Definitions.net dictionary. Meaning of exigency . What does exigency mean ? Information and translations of exigency in the most comprehensive dictionary definitions resource on the web. EXIGENCY meaning : 1. the difficulties of a situation, especially one that causes urgent demands: 2. the difficulties…. Learn more. exigency - Meaning in Law and Legal Documents, Examples and FAQs Exigency refers to a situation that requires immediate action or response, similar to an emergency where quick decisions are necessary. Exigency means a pressing or urgent situation, a need or requirement, or an emergency. Find out the origin, usage, and translations of this word in different languages.