Slice the chicken breast into thin strips and place them in a bowl.
Add the dried oregano, sea salt, black pepper, and half of the lemon juice to the chicken, tossing to coat evenly.
Heat the olive oil in a non-stick skillet over medium-high heat.
Add the chicken to the skillet and sear for 5-6 minutes, turning occasionally until golden brown and cooked through.
While the chicken cooks, dice the cucumber and halve the cherry tomatoes.
In a small bowl, toss the cucumber and tomatoes with the remaining lemon juice.
Spread the hummus in a thick layer across the center of a large plate.
Top the hummus with the warm herb chicken, the cucumber-tomato salad, Kalamata olives, and crumbled feta cheese.
Lightly toast the pita bread and serve it on the side of the platter.