I've personally never seen another Arcane Staff without the big description and no fansites have information on the other staff. It appears to be unobtainable at this time. But what if it's seen at the Ferumbras Citadel? This cannot be confirmed because there's an item on top of it, but it's interesting to note. I tried to look at other Treasure Rooms but with no luck.
If you look on Tibia Fandom, there's also an item that looks identical to an Arcane Staff called a Rascoohan Rat Revealer but this isn't listed in the Cyclopedia and has a different description it's also temporarily obtained and used during A Pirate's Tail Quest.
When you look in the Cyclopedia there are two Arcane Staffs listed. The Arcane Staff with the full description is the obvious one you can get as a reward from Pits of Inferno, a loot from some bosses, or purchased from Gnomission. However, the second one is questionable and is the one you're asking about. Interestingly enough it doesn't have a complete description. All it says is, "Weight:40.00 oz" which is the same weight as the one that's obtainable. What is interesting is under the obtainable Arcane Staff it says, "Description: It is enchanted with ancient magic that renders a weak staff into a powerful weapon" The definition of Arcane means, "understood by few; mysterious or secret" according to a Google search. Maybe there's more to this staff. Maybe it's apart of a quest or maybe it wasn't meant for us to obtain yet.
If you take a look at the Isle of Merriment there's a lot of items there that we have no idea how to obtain like the Doll that's got blonde hair or Patched Boots. For now, all we can do is be patient, because some items come with updates, or some might not ever appear.
Source of image: Ferumbras Citadel (Youtube video)
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