Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Drain and rinse the chickpeas, then pat them thoroughly dry with a paper towel to ensure maximum crispiness.
Cut the chicken breast into small, uniform bite-sized pieces.
In a medium mixing bowl, combine the chicken, dried chickpeas, olive oil, chili powder, sea salt, and black pepper.
Toss the mixture until everything is evenly coated in the spices and oil.
Spread the chicken and chickpeas in a single layer on the prepared baking sheet, ensuring they are not crowded.
Roast for 20 to 25 minutes, tossing halfway through, until the chicken is cooked through and the chickpeas are golden and crunchy.
Remove from the oven and immediately drizzle the fresh lime juice over the hot chicken and chickpeas.
Arrange the mixed baby greens and chopped cucumber in a bowl, then top with the warm roasted mixture and serve immediately.