Access to [metal] Weaknesses/Resistance Bypass early
Monks get "cold iron/silver" unarmed attacks at level 9 and "adamantine" unarmed attacks at level 17. If you know you will be fighting a creature before those points (as early as level 2-ish for cold iron/silver and 11-ish for adamantine) that you would benefit greatly from having such an attack available, it may be worth having a set of knuckle dusters around to address that need. They appear, currently, to be the only reasonably metal-made bludgeoning Monk weapon (except possibly the pantograph gauntlet, from the descriptive text) and the only common metal-made Monk weapon.
For that matter, breaking stuff could be a valid reason to keep standard-grade adamantine knuckle dusters around from level 11-ish. It's unclear if the level 17 class feature includes the full benefits of adamantine including reducing target objects' Hardness (the text is "Your unarmed attacks are treated as adamantine.").
If you need to have a weapon (or two)
If you have selected non-monk features that require using weapons, knuckle dusters suit the need. For one example, Double Slice from the Dual-Weapon Warrior or Fighter archetypes, doesn't allow for use with one or more unarmed attacks ("Requirements You are wielding two melee weapons, each in a different hand."). This may be a stop-gap while you wait to take Monastic Weaponry and find the time to go shopping for more beneficial weaponry.
It can also be the target of some magical effects, such as magic weapon (which is more generally useful than magic fang and not restricted to Primal) and disrupting weapons, that don't allow for selecting unarmed attacks.
These points assume you did not invest in Monastic Weaponry because there are better Monk weapons with that Feat. Knuckle dusters have the benefit of being simple and common.