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Combine first 6 ingredients in a bowl; stir well with a whisk.
Set aside.

Heat a large nonstick skillet coated with cooking spray over medium-high heat.
Add chicken; cook 4 minutes on each side or until done.
Cut the chicken into 1/8-inch-thick slices.

Cut off the raised portion of the main vein of each lettuce leaf.
Divide chicken evenly among lettuce leaves; top with carrot, jicama, cucumber, bean sprouts, and cabbage, dividing evenly.
Roll up, and secure with a pick.
Serve with sauce.