Preheat oven to 375°F. Arrange hazelnuts in an even layer on a baking sheet and toast for 8 to 10 minutes, until golden. If they have brown papery skins, fold nuts into a clean dish towel while still hot and vigorously rub. Some skins will remain on, which is fine. Set aside.
Increase oven to 375 degrees F. In a baking dish, combine unpeeled beets and enough oil to lightly coat. Season with salt and pepper. Add water to a ¼-inch depth and cover lightly with aluminum foil. Roast for 1 hour, or until beets are tender and easily pierced with a fork. Set aside to cool.
When cool enough to handle, peel beets and cut into ½-inch sized pieces. Transfer to a bowl and refrigerate until cold. (Can be prepared 2 days ahead and refrigerated.)
In a small saucepan, heat honey over medium-high heat until darkened, about 5 minutes, or until dark amber but not black. While hot, carefully whisk in vinegar. Set aside to cool, then refrigerate for 1 hour, or until chilled. Whisk in olive oil and season to taste with salt. (Can be made 3 days ahead and stored in an airtight container.)
In a medium mixing bowl, combine chilled beets with enough dressing to coat. In a small bowl, combine chives, chervil (or tarragon), and parsley.
Crush these hazelnuts by pressing on them with the bottom of a heavy pan until most are in half, with some smaller pieces. In a small mixing bowl, whisk chèvre and cream until spreadable. Using the back of a spoon, spread whipped chèvre in a circle along the bottom of the four shallow bowls. Evenly sprinkle mixed herbs on the goat cheese.
Place dressed beets in a circle slightly overlapping the cheese, leaving the very center of the bowls open. Top the beets with ¼ cup hazelnuts per bowl. Place a small handful of arugula in a neat pile in the center and serve.