Preheat oven to 450F. Place chicken breasts on a baking sheet and rub with olive oil. Season with salt and pepper. Roast in oven until cooked through, about 30 minutes. Shred with forks or tear into bite sized pieces.
Meanwhile, whisk mayonnaise, lime juice, honey, curry powder, ginger, and turmeric in a large bowl. Add carrots, raisins, chives, almonds, and shredded chicken. Stir to coat everything with the dressing.