In a small mixing bowl, combine Parmesan and chives. Heat a 10" nonstick skillet over medium-high heat. Sprinkle 1/3 cup Parmesan cheese mixture in a circle into skillet, keeping edges lacey. When cheese is golden-brown around the edges, remove skillet from heat; with a narrow metal spatula, loosen cheese around edge, working into center. Place a 3" diameter glass in the center of the cheese circle; invert pan and glass onto counter, lifting off skillet. Quickly drape cheese circle over the glass, pressing to form a bowl; cool completely. Repeat with remaining Parmesan to make 3 more bowls. In a large bowl, combine remaining ingredients; toss to coat with dressing. Divide salad among each of 4 Parmesan bowls. Serve immediately.