01 - In a medium mixing bowl, combine shredded chicken, mayonnaise, Greek yogurt, Dijon mustard, celery, red onion, dill, lemon juice, salt, and pepper. Mix well until fully blended and creamy.
02 - Wash and dry the cucumbers. Using a mandoline or vegetable peeler, slice cucumbers lengthwise into long, thin ribbons. You will need about 16 even slices for rolling.
03 - Place a cucumber ribbon flat on a clean work surface. Spread about 1 1/2 tablespoons of chicken salad along one end. Top with a few julienned carrots if desired for extra crunch and color.
04 - Gently roll up the cucumber, securing the filling inside. Place seam side down on a serving platter. Repeat with remaining ingredients until all the chicken salad is used.
05 - Serve immediately for best texture, or cover and refrigerate for up to 2 hours before serving. Roll ups will become slightly softer after refrigeration.