01 - In a mixing bowl, whisk together olive oil, Vegemite, honey, minced garlic, smoked paprika, salt, and pepper until well combined.
02 - Coat chicken pieces evenly with the Vegemite marinade. Let rest for at least 15 minutes, or cover and refrigerate up to 4 hours for deeper flavor penetration.
03 - Heat a grill pan or barbecue over medium-high heat. Grill chicken for 6 to 7 minutes per side until nicely charred and cooked through. Let rest for 5 minutes, then slice thinly against the grain.
04 - In a small bowl, combine mayonnaise, lemon juice, and Dijon mustard. Stir until smooth and set aside.
05 - Warm tortillas or flatbreads in a dry skillet over medium heat or in the microwave until pliable and easy to fold.
06 - Lay out each tortilla flat. Spread a spoonful of the sauce along the center. Layer with spinach, cucumber, carrot, red onion, and slices of charred chicken.
07 - Roll up each wrap tightly, tucking in the sides as you go. Slice in half on a diagonal and serve immediately.