- 2 medium zucchini (3/4 lb total)
- 1 teaspoon salt
- 2 (3-inch-wide) wedges honeydew melon, seeded and rind removed
- 1 whole smoked chicken breast (1 lb), skinned and thinly sliced crosswise with a knife
- 1 (1/2-lb) piece Parmigiano-Reggiano
- 1/4 cup packed fresh mint leaves, cut crosswise into thin shreds
- 1/4 cup extra-virgin olive oil
- 1/4 cup fresh lime juice
- Special equipment: an adjustable-blade slicer
- Cut zucchini crosswise diagonally into 1/8-inch-thick slices using slicer and transfer to a colander set over a bowl. Sprinkle with salt, tossing to coat, and let stand 5 minutes, then rinse under cold water. Arrange in 1 layer on paper towels and pat dry.
- Cut melon wedges lengthwise into 1/8-inch-thick slices using slicer.
- Divide melon, zucchini, and chicken among 4 plates. Shave about one fourth of cheese into curls with a vegetable peeler and divide curls and mint among the 4 plates. Drizzle each plate with oil and lime juice. Season with salt and pepper. Serve immediately.