Combine vinegar and sugar. Whisk until well blended. Add daikon and carrot. Toss to coat. Let stand 2 hours or overnight. Drain.
Curry Yogurt Dressing
Combine yogurt, honey, lime juice, and curry powder. Stir well to make yogurt dressing. Divide in two.
Tandoori-Spiked Chicken
Marinate chicken in first portion of yogurt dressing for 2 hours or overnight. Cook chicken on medium-high pan (or griddle at 350 F) until internal temperature reaches 165 F and juices run clear. Cool. Slice for wraps.
Wrap it Up!
In each tortilla, spread remaining yogurt dressing. Layer cucumber, cilantro, pickled carrots & daikon radishes, chicken. Wrap and cut diagonally.