In a bowl, mix olive oil, lemon juice, garlic, oregano, salt, and pepper. Add chicken thighs and marinate for at least 30 minutes.
Cook marinated chicken in a skillet over medium heat until fully cooked, about 6-7 minutes per side. Let rest, then slice.
In a small bowl, combine Greek yogurt, dill, lemon juice, and salt for the sauce.
Dice cucumber, halve grape tomatoes, and thinly slice red onion.
Spread hummus on flatbread, add chicken, vegetables, and drizzle with dill yogurt sauce. Roll tightly.
Serve immediately.
