In a large bowl, combine the lime zest and juice, tamari, fish sauce, ginger, honey, garlic, coriander, and cumin; add the steak and toss to coat. Cover and refrigerate for 1 to 2 hours.
Thread a slice of the marinated steak onto each skewer like a ribbon, stretching it out a bit but not until flat. Season with salt and pepper. Oil the grill grate. Grill the satay in batches, turning often and basting once or twice with coconut oil until the surface is slightly charred but the center is still slightly pink, 3 to 4 minutes total. Transfer to a platter, tent with foil, and keep warm while grilling the remaining skewers. Stir half of the cilantro into the sauce, and sprinkle the satay with the remaining. Serve with the lime wedges and the sauce.
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