Add the oil, garlic, salt, cumin, lime juice, honey and cilantro to a blender or food processor. Blend on low until just combined.
Add the chicken to a 6-quart slow cooker. Pour over half the sauce, stirring to coat the chicken. Set the remaining sauce aside.
Cover and cook on high for 3-4 hours, or low for 5-6, or until the chicken shreds easily with a fork. Do not uncover during this time.
Uncover and remove the chicken to a cutting board. Shred with a fork or chop into pieces.
Add the chicken back to the slow cooker along with the cooking juices and reserved sauce, stirring to combine.
Taste and add additional lime juice or salt if desired. Serve with warm tortillas or rice and any toppings you like.
Notes
Nutrition Information: calculated using chicken breasts and a full cup of the cilantro lime sauce, so the numbers will vary depending on if you use the extra β cup of sauce or not.
With Beans and Corn: To stretch this into a heartier meal, stir in a can of well drained and rinsed black beans and 1 cup of corn (canned, drained or frozen, defrosted) at the end. Give them an extra 15 to 30 minutes on warm to heat through, and you've got an easy filling for a crowd.