I've made some furniture out of chestnut. The last was a couple of decades ago, maybe more, but as I recall it's a good deal lighter than oak with rather similarly coarse but milder grain characteristics, along with similar colouring but, of course, without the prominent medullary rays you'll find in oaks. The last piece I made, a cabinet, was coloured with walnut (Van **** brown) dye, but as an alternative it could have been stained. Like oak, contact with iron and water will cause black staining. It can also be fumed much like oak and ferrous sulphate turns it blue/ grey because it too is high on tannins.
If you've got access to decent sized boards that have been seasoned properly you shouldn't have significant problems in my opinion. You'll end with something that looks rather similar to oak, but without quite the strength, density or hardness, and the lack of quarter sawn figuring, which isn't (and wasn't) a problem to me. The wood is was it is and has its own characteristics. Slainte.