In a food processor, combine the rinsed chickpeas, roasted red peppers, tahini, lemon juice, garlic, cumin, and half of the sea salt.
Process until the hummus is completely smooth and creamy, adding a splash of water if needed to reach your desired consistency.
Cut the chicken breast into bite-sized cubes and toss in a bowl with olive oil, dried oregano, and the remaining sea salt.
Thread the chicken onto skewers or simply place them in a hot skillet over medium-high heat.
Grill or sauté the chicken for 6-8 minutes, turning occasionally until golden brown and cooked through.
Slice the cucumber into rounds and halve the cherry tomatoes.
Spread the roasted red pepper hummus onto a large plate or bowl, top with the warm grilled chicken, and serve with the fresh vegetables on the side.