In a bowl combine the mayo, thyme leaves and chives.
Preheat a grill or grill pan on medium heat. Sprinkle the chicken breast with salt and pepper, and cook 6 - 7 minutes per side, turning once, until the center of the chicken breast is no longer pink and an internal temperature of 160 degrees is achieved. (time may vary depending on the thickness of the chicken breast, use a thermometer) Remove the chicken, and slice thin.
Slice the rolls in half, and place on the grill or in the oven on low broil to toast golden brown.
Spread each toasted roll with herb mayonnaise, layer with chicken, pepper jack cheese, lettuce, and tomato. Cut in half and serve.