02Cut carrots and radish into 1/8-inch-thick matchsticks (2 inches long) with slicer. Whisk together vinegar, sugar, and salt in a bowl until sugar is dissolved, then add vegetables and toss to combine. Let stand, tossing occasionally, until wilted, about 15 minutes.
03Heat grill pan over moderately high heat until hot, then grill chicken in 4 batches, turning over once with tongs, until just cooked through, about 1 minute total per batch. Transfer chicken to a plate as grilled and keep warm, covered with foil. Serve with pickle and accompaniments.
04*Available at Asian markets, cookware shops, and Uwajimaya (800-889-1928).