"Cingle" is an uncommon word, and there are very few synonyms for it. One possible synonym could be "girdle," which refers to a belt or band worn around the waist to hold clothing in place. Another possible synonym could be "encircle," meaning to surround or enclose something completely. Additionally, the word "ring" could be used as a synonym for "cingle," referring to a circular shape or object that can wrap around something. Despite the limited options for synonyms, these words can be useful in providing alternate ways to describe the action of wrapping or surrounding something.