Preheat oven to 425°F. Line a baking dish or sheet pan with aluminum foil. (You could also use an oven-safe skillet.)
Wash, dry, and butterfly chicken breasts. To butterfly, place the chicken breast on a chopping board and, with your hand flat on top of it, use a sharp knife to slice into one side of the breast, starting at the thicker end and ending at the thin point. Be careful not to cut all the way through to the other side.
Open the butterflied chicken breasts. Place mozzarella, 3-4 raw asparagus spears, and ¼ of the crumbled bacon into the fold. You may want to secure the fold with a toothpick.
In a medium bowl, mix together oil, lime juice, salt, and pepper.
Brush both sides of a stuffed chicken breast with the oil mixture, and place it on the prepared baking sheet. Top with breadcrumbs.
Repeat with the remaining chicken breasts.
Bake for 20-25 minutes, or until the chicken is fully cooked (the thickest part of the chicken has reached an internal temperature of 165°F). Serve immediately.