01 - Whisk together olive oil, lemon juice, minced garlic, oregano, cumin, salt, and pepper in a mixing bowl. Add chicken pieces and coat thoroughly. Cover and refrigerate for 15 minutes to 2 hours.
02 - Rinse rice under cold water until water runs clear. Combine rice, water, and salt in a saucepan. Bring to boil, reduce heat to low, cover tightly, and simmer 15 minutes until liquid is absorbed. Remove from heat and let stand 5 minutes before fluffing with fork.
03 - Combine Greek yogurt, lemon juice, olive oil, minced garlic, chopped dill, salt, and pepper in small bowl. Mix until smooth and well blended. Refrigerate until serving.
04 - Heat grill pan or skillet over medium-high heat. Remove chicken from marinade and place in hot pan. Cook 5 to 6 minutes per side until golden brown and internal temperature reaches 165°F. Transfer to cutting board and rest 5 minutes before slicing.
05 - Divide cooked rice among 4 serving bowls. Arrange sliced chicken, cherry tomatoes, cucumber, red onion, olives, and feta over rice. Drizzle generously with yogurt sauce and garnish with fresh parsley.
06 - Serve bowls immediately while chicken is warm. Offer additional lemon wedges on side for squeezing over finished dish.