Brush grill rack with vegetable oil. Heat gas or charcoal grill. (I've also cooked these in a pan. that also works!)
Mix jam and mustard together in a small bowl. Refrigerate.
Place chicken on grill or pan. Cover. Cook over medium heat for 15-20 minutes, occasionally brushing with jam mixture and turning once.
Use extra jam mixture as more glaze if you prefer
Serve chicken topped with raspberries.