Rinse meat under cold water. Take one lime or lemon to clean meat my rubbing each slices of meat well while squeezing the juice on the meat as well. Rinse meat again under cold running water. Pat dry and set aside. To prepare marinade, in a bowl add all ingredients with the remaining juice from the other lime of lemon. Add marinade to lamb and let marinate at least 3 hours.
In a heavy pan, place meat and let cook for at least 20 minutes over medium to high heat. Remove meat and place in a prepared baking dish and roast in a 375 degree Fahrenheit oven for 30 to 45 minutes depending on the thickness of the lamb slices. If grilling, remove from pan and grill over medium to high heat 5 to 7 minutes per side or until fully cooked. Serve immediately with your favorite side dish.