The term 'Band Around a Sleeve' can be summarized as an ARMLET, which is a 6 letter word. An ARMLET is a type of jewelry that is worn around the upper arm, usually just below the shoulder. It is often made of metal or other materials such as leather or cloth and is decorated with jewels, beads, or other adornments. Armlets are popular in many cultures and have been used for centuries as a form of decoration and protection.