Yeah now that I can see it being a candlestick holder it makes more sense. wish I could see what was attached at the screw part.. some sort of drip catch probably. it sure held small little candles if thats what the little cup is for.
I looked online a bit and didn't find an exact match to yours anywhere, but I'd think the threaded part held it to some sort of base, and the little tube was likely to be for holding a snuffer. It's definitely a neat one.