We do not currently know of any synonyms for netsuke.
The noun netsuke is defined as:
A small, often collectible, artistic carving characterized by an opening or two small holes (紐通し (himotōshi)), most commonly made of wood or ivory, used as a fob at the end of a cord attached to a suspended pouch containing pens, medicines, or tobacco. Netsuke originated in feudal Japan in the late 16th and 17th centuries.