01 - Slice chicken breasts horizontally to create 4 thin cutlets. Combine chicken with pickle juice in a bowl or zip-top bag. Marinate refrigerated for at least 1 hour, or up to 4 hours for intensified flavor. Remove chicken from marinade, pat dry, and discard marinade. Rub chicken with olive oil, smoked paprika, black pepper, and garlic powder.
02 - Preheat a grill or grill pan over medium-high heat. Grill chicken cutlets for 4–5 minutes per side, until thoroughly cooked and charred. Allow chicken to rest for 5 minutes before slicing into strips.
03 - In a small bowl, whisk together mayonnaise, Dijon mustard, honey, lemon juice, and a pinch of salt and pepper until well combined.
04 - Warm flour tortillas in a dry skillet or microwave until pliable and warm.
05 - To construct each wrap, spread a spoonful of the prepared sauce over a warm tortilla. Layer with shredded lettuce, sliced tomato, thinly sliced red onion, shredded cheddar cheese, sliced dill pickles, and the grilled chicken strips.
06 - Roll up each assembled wrap tightly. Slice wraps in half and serve immediately.