Prepare the marinade: In a bowl, whisk together the olive oil, lemon juice, honey, lemon zest, minced garlic, oregano, basil, salt, and black pepper until combined.
Reserve dressing: Set aside a clean portion of the dressing for serving before adding any raw chicken.
Marinate the chicken: Place the chicken breasts in a mixing bowl and coat with the remaining marinade. Cover and refrigerate for about 30 minutes, or according to your tested preparation time.
Cook the rice: Prepare the rice according to package instructions until tender and fluffy. Keep covered until ready to assemble the bowls.
Grill the chicken: Heat a lightly oiled grill pan over medium heat. Add the marinated chicken and cook on both sides until golden brown and the internal temperature reaches 165°F (74°C).
Prepare the toppings: Dice the cucumber, chop the tomatoes, and finely dice the red onion. Prepare the crumbled feta cheese and pitted Kalamata olives.
Slice the chicken: Allow the cooked chicken to rest briefly, then slice into even strips.
Assemble the bowls: Divide the cooked rice between four bowls. Top with sliced chicken, cucumber, tomatoes, red onion, feta cheese, and Kalamata olives.
Finish and serve: Drizzle with the reserved clean lemon herb dressing and serve immediately.