Heat butter in saucepan over medium heat. Add garlic and saute gently 1 minute; remove pan from heat. Reserve and keep warm.
Place asparagus in saucepan over medium heat. Add enough water to cover, simmer 3-5 minutes or until just tender. Remove from saucepan, pat dry and transfer to serving platter. Keep warm.
TO SERVE: Stir egg and lemon into reserved garlic butter. Pour over asparagus, season with salt and pepper and garnish with tarragon.