Isn't that a weapon from Dragon Magazine, used by "dwarven" ninjas. I think it is a light double weapon somehow. A double ended shortsword or something.
If this is the weapon I am thinking of...I'd treat it like any other double weapon per RAW. I think it is if you have a....orc double axe...one head is a +1 Cold Iron Flaming Burst and the other is just Alchemical Silver...and the +1 Cold Iron Flaming Burst is broken...all you have is the other head...no magic to it.
If someone knows the rule better please correct me if I am wrong about this please.