Barbecued-Chicken Salad

Heat grill to high. Stir together lime zest and juice, garlic, 1 teaspoon paprika, and honey; season with salt and pepper. Whisk in oil. Season chicken with remaining teaspoon paprika and salt and pepper. Pour half of dressing over top. Brush grates with oil.

Grill corn, turning occasionally, until charred in places, 10 minutes; transfer to a plate. Grill chicken, flipping once, until cooked through, 3 to 4 minutes total. Cut corn kernels from cobs into a large bowl; toss with lettuce, avocado, tomatoes, and remaining dressing. Season with salt and pepper. Slice chicken; drizzle with juices and serve, with salad and topped with chips.