Found in version 0.A-2249. Don’t know if it’s a bug or a feature lacking clarification, but reeling attacks can be made with weapons, if you choose Brawling as your unarmed style and then wield a weapon. Only reeling shows up, not other Brawling special attacks, and style while armed shows up as Normal. Choosing No Style stops reeling of happening.
Bug reproduced with success using broadsword, zweihander and wakizashi, using level 7 in Unarmed, Melee and Cutting Weapons.