The crossword solutions for the term 'diminish slowly, WITH 'OFF'' are WEAR. This term is used to describe a gradual decrease in something over time. It is often used to describe the gradual decrease of something that is being used up, such as energy or resources. The phrase 'WITH 'OFF'' implies that the decrease is not sudden, but rather a slow and steady decrease. The word 'WEAR' is often used to describe the gradual decrease of something due to use or age. For example, a car's tires may WEAR down over time due to regular use.