Butter one side of each bread slice. Turn 4 pieces butter side down on a work surface. Arrange 2 slices of turkey on each piece of bread. Sprinkle with walnut pieces. Top each with a slice of Havarti. Spread cranberry chutney on the unbuttered side of remaining slices of bread and place butter side up.
Grill on a preheated grill or in a skillet until sandwiches are golden on both sides and cheese has melted, about 5 minutes.