Combine extra virgin olive oil, orange juice, lemon juice, Dijon mustard, chives, Kosher salt, and freshly ground black pepper in a measuring cup or mason jar with tight fitting lid. Either stir well or shake until emulsified. Set aside.
On a large serving platter, place an even layer of frisée lettuce leaves, separated into small pieces with your hands. Place baby arugula or micro greens on top. Divide the orange segments evenly between all plates, add the thinly sliced fennel, then carefully add jumbo lump crab pieces.
Drizzle the salad dressing on top, then sprinkle with sliced chives, chopped fresh dill, and a generous pinch of flaky sea salt.
Serve over a bed of frisée lettuce with baby arugula and a homemade citrus vinaigrette. An elegant start to any meal!