Cut trimmed asparagus into 2-inch lengths. Microwave covered in a glass dish for 2 minutes and let cool. Lightly spread cocktail rye bread with raspberry jam. Top each with a slice of havarti cheese. Place asparagus side by side on half of the bread slices; top each with one of the remaining bread slices. Butter both sides of sandwiches. Cook in a skillet over medium heat until browned and cheese melts. Cut in half and serve with your favorite soup.