Using your blender or food processor, blend the lime juice, olive oil, chipotle pepper, adobo sauce, minced garlic, and 3 tablespoons of chopped cilantro, ground cumin, salt, black pepper, and honey until smooth.
If the mixture is too thick, add a little water or more lime juice. Taste the mixture and adjust it to your liking.
Place the 4 chicken breasts in a large zip-top bag or a shallow dish.
Pour the chipotle-lime marinade over the chicken, making sure each piece is well coated.
Seal the bag or tightly cover the dish with plastic wrap and place it in the refrigerator for 2-4 hours.
Preheat your grill (or pellet grill) to medium-high heat or 375 degrees F. If you are using a pellet grill, use apple, cherry, or maple wood pellets.
Remove the marinated chicken from the bag (or dish) and place it on the grill. Close the lid and grill the chicken for 6-8 minutes per side or until the internal temperature at the thickest part of the breast reaches 165 degrees F.
Once cooked, remove the chipotle-lime chicken from the grill and place it on a serving platter. Let the chicken rest for at least 5 minutes.
Garnish with reserved chopped cilantro and lime wedges.