Preheat a grill or grill pan over medium-high heat.
Season the turkey breast with a pinch of salt and pepper.
Grill the turkey for 5-6 minutes per side or until the internal temperature reaches 165°F.
While the turkey cooks, whisk together the olive oil, lemon juice, and Dijon mustard in a small bowl to create the vinaigrette.
In a large salad bowl, combine the arugula, chickpeas, diced cucumber, sliced bell pepper, and thinly sliced radishes.
Allow the grilled turkey to rest for 3 minutes, then slice it into thin strips.
Toss the salad with the lemon-dijon dressing until well coated.
Top the salad with the sliced turkey and serve immediately.