Cut the chicken breast into bite-sized cubes and place them in a bowl.
Toss the chicken with 1 tsp of olive oil, dried oregano, 0.25 tsp sea salt, and black pepper.
Thread the chicken onto skewers and grill over medium-high heat for 4-5 minutes per side until charred and cooked through.
In a food processor, combine the chickpeas, roasted red peppers, tahini, lemon juice, garlic, 0.5 tsp olive oil, ground cumin, and 0.25 tsp sea salt.
Process the hummus until completely smooth and velvety, adding a teaspoon of water if needed to reach your desired consistency.
Slice the cucumber into rounds and the bell pepper into thick strips for dipping.
Spread the roasted red pepper hummus onto a plate, top with the grilled chicken skewers, and serve with the fresh vegetable dippers.