Mix all ingredients together and marinate chicken, covered and refrigerated at least 4 hours, preferably overnight. On a hot grill, season chicken and cook through, about 8 minutes a side. Be careful not to burn the skin.
SLAW: In a bowl, whisk together fish sauce, vinegar, chile flakes, basil and sugar. Toss together the vegetables together and add to vinaigrette. Toss well and check for seasoning. This should rest for 10 minutes before serving.