Whisk together the olive oil, lemon, lemon zest, garlic cloves, white wine vinegar, honey, and oregano.
Place the chicken breasts into a glass container or plastic storage bag and pour the marinade over top. Let the chicken marinate for a few hours or overnight.
Grill the chicken and after it's cooled slightly cup up into bite-sized pieces.
Put together the meal prep bowls. Divide the rice, chicken, cucumbers, cherry tomatoes, chickpeas, feta cheese, banana pepper rings, and olives among the glass meal prep containers.
Add 2 tablespoons of Tzatziki sauce to each of the bowls. If you're using the dressing then add the dressing to a small storage container and either place on the other side of the bowl or keep it outside the bowl with the rest of the meal prep bowls.
To eat the greek chicken meal prep bowl mix together all of the ingredients and enjoy.