Wiktionary
n. (plural of button man English)
Wikipedia
Button Men is a dice game for two players invented by James Ernest of Cheapass Games and first released in 1999.
Games are short, typically taking less than ten minutes to play. Each player is represented by a pin-back button of their choice. The buttons are metal or plastic discs, about 2–2.5 inches (5–6.5 cm) in diameter, with a pin on back that can be used to fasten them to clothing. A button bears the name and illustration of the combatant ("Button Man" or "fighter") assumed by the player. Each button indicates the quantity and maximum value (and abilities if any) of the player's dice.
Usage examples of "button men".
The mobs' button men ranging on their manhunt kept phoning Cataffo's, increasingly uneasy and frustrated at not locating the fat man.
The two brothers, along with perhaps a dozen of Caesare's cronies, button men and minor family heads, were in Grandfather's office above the Mastimo Funeral Home.