Slice the chicken breast into thin strips and season with half of the dried oregano, sea salt, and black pepper.
Heat a non-stick skillet over medium-high heat and cook the chicken until golden brown and cooked through, approximately 6 to 8 minutes.
In a food processor, combine the chickpeas, tahini, lemon juice, garlic, and the remaining oregano, salt, and pepper.
Process the hummus mixture until completely smooth, adding a teaspoon of water if needed to reach your desired consistency.
Toast the whole wheat pita in a toaster or oven until it becomes crispy, then slice it into eight triangles.
Slice the cucumber into rounds and halve the cherry tomatoes.
Spread the hummus onto a large plate or platter and top it with the warm sautéed chicken.
Drizzle the extra virgin olive oil over the chicken and hummus, then serve immediately with the pita chips and fresh vegetables.