In a food processor or blender, combine the green onions, onion, jalapeno pepper, soy sauce, vinegar, vegetable oil, brown sugar, thyme, cloves, nutmeg and allspice. Mix for about 15 seconds.
Place the chicken in a medium bowl, and coat with the marinade. Refrigerate for 4 to 6 hours, or overnight.
Preheat grill for high heat.
Lightly oil grill grate. Cook chicken on the prepared grill 6 to 8 minutes, until juices run clear.
