In a bowl, whisk together the Italian dressing, lime juice, and honey until smooth.
Place the chicken tenderloins in a zip-top bag or shallow container and pour the marinade over them, making sure all pieces are coated.
Seal the bag or cover the container and refrigerate for a few hours or up to overnight to marinate.
Preheat the grill (or a cast iron grill pan) to medium-high heat and clean the grates; remove the chicken from the marinade and discard the marinade.
Place the tenderloins on the grill and cook, turning as needed, until the internal temperature reaches 165°F (about 10–12 minutes total depending on thickness).
Remove the chicken from the grill and let rest briefly before serving.