Furnishing Writs usually show up for the New Life Festival. Though be careful what you wish for. If you don't have a decent-sized store of heartwood and other mats, it can be difficult to keep up with the material demands.
Unless you meant a Furnishing daily writ, just like the other crafting disciplines. I don't think ZOS has any stated plans for that.
The furniture writs during New Life Festival were really a welcome change, but they shouldn't include the use of heartwood, bast etc... Otherwise it would be nice if they also existed outside of the festival time.