In a bowl, mix the chicken with olive oil, cumin, coriander, paprika, turmeric, cinnamon, garlic, lemon juice, salt and pepper. Marinate for 20 minutes.
Heat a pan. Add the marinated chicken and cook for 6 to 8 minutes, until browned and cooked through.
Combine the Greek yoghurt, chopped cucumber and coriander to make a quick sauce.
Warm the wraps slightly and fill each wrap with cooked chicken, lettuce, and a spoonful of yoghurt sauce.