An ANNOYING PAIR is an expression used to describe two people who are constantly together and often get on each other's nerves. The crossword solution for the term ANNOYING PAIR is ENS, which stands for Ensign, a rank in the United States Navy. An Ensign is typically the lowest ranking commissioned officer in the Navy and is responsible for leading enlisted personnel. As such, they are often paired with a subordinate, creating an ANNOYING PAIR.