Season the chicken breast evenly with half of the sea salt, black pepper, and smoked paprika.
Heat a grill pan or skillet over medium-high heat and cook the chicken for 6-7 minutes per side until the internal temperature reaches 165°F.
In a food processor, combine the chickpeas, roasted red peppers, Greek yogurt, tahini, lemon juice, garlic, and the remaining sea salt and pepper.
Process the hummus mixture until completely smooth and creamy, scraping down the sides as needed.
Slice the cooked chicken breast into thin strips and slice the cucumber into thick rounds.
Spread the red pepper hummus across a large plate, top with the sliced chicken, drizzle with olive oil, and serve with the fresh cucumber rounds for dipping.