The base is wooden. I doubt a jeweler would want to use such a small anvil for anything other than decoration? The length might be 2" and maybe it is 1/2" across..
Jewelers work with VERY soft metals typically. gold silver copper, maybe brass. it takes VERY little to form these materials in the sizes they work with. I'm sure a Watchmaker could make use of the thing as well at times.
The hammers used (of many types) are ofter in the 1 oz or less category. even brass, copper and leather faced hammers are in use, and they make a tack hammer look like a sledge...
When I was a kid it was a popular thing to take a (Silver not clad) Quarter and tap on the edges using a teaspoon. eventually the edge would mushroom out and when they got it where they wanted it, they would drill out the center, and finish it off, inside an out, and voila! A silver ring! All using a teaspoon!