Combine asparagus and 1/4 cup water in a small microwave-safe bowl; cover and microwave at HIGH 2 minutes or until tender. Rinse with cold water; drain.
Combine chives, dill, salt, pepper, and eggs in a medium bowl; stir with a whisk.
Preheat broiler to high.
Heat a small ovenproof nonstick skillet over medium heat.
Add oil; swirl to coat.
Add asparagus and egg mixture to pan; cook 3 minutes or until eggs are partially set, stirring occasionally.
Sprinkle with cheese.
Place pan under broiler. Broil 2 minutes or until eggs are set and top is lightly browned.
Remove pan from oven. Run a spatula around edge and under frittata to loosen from pan; slide frittata onto a plate or cutting board.