Marinade the chicken in the coconut milk, soy sauce and lime several hours or overnight. Drain chicken and salt and pepper . Dip chicken in eggs coating well and then in flour mixed with the coconut. Shake off excess.
Heat adequate amount of oil in a skillet for proper frying and fry chicken cutlets on medium high heat, turning a few times until golden and done. Do not let coconut breading burn. Drain on absorbent paper. Serve with Asian style noodles and coconut pancakes if desired.