• ADHERENCE (noun). The noun ADHERENCE has 2 senses: 1. faithful support for a religion or cause or political party. 2. the property of sticking together (as of glue and wood) or the joining of surfaces of different composition. Familiarity information: ADHERENCE used as a noun is rare.he noun ADHERENCE has 2 senses: 1. faithful support for a religion or cause or political party. 2. the property of sticking together (as of glue and wood) or the joining of surfaces of different composition. Familiarity information: ADHERENCE used as a noun is rare.