Chicken Gyros With Cucumber Salsa and Tsatsiki

Name: Chicken Gyros With Cucumber Salsa and Tsatsiki
Ingredients: 2 kirby cucumbers, divided; 1 1⁄2 cups Greek yogurt (3/4 pounds); 1 teaspoon fresh lemon juice, divided; 5 garlic cloves, minced, divided; 1 pint grape tomatoes, quartered; 1 small red onion, halved and thinly sliced; feta (optional, to taste); 1⁄3 cup chopped flat leaf parsley; 1⁄4 cup chopped mint; 1⁄4 cup extra-virgin olive oil; 1 teaspoon dried oregano; 1 teaspoon dried rosemary, crumbled; 1 (12 ounce) package naan bread (four 8-inch pieces); pocketless pita bread round; 1⁄2 roast chicken, skin discarded, meat shredded (about 2 1/4 cups); 1⁄2 head iceberg lettuce, thinly sliced