Preheat the broiler. In a large skillet, heat the EVOO, 1 turn of the pan, over medium-high heat. Add the onion and garlic and cook until softened, about 2 minutes. Stir in the lime juice and honey, then stir in the salsa and heat through. Mix in the creme fraiche. Stir in the chicken to coat.
Pile the chicken mixture on the roll bottoms. Top with the cheese and broil to melt. Set the roll tops in place and serve with the chips.