In a saucepan large enough to accommodate asparagus spears, bring 2 inches of water to a boil over high heat.
Trim and discard tough ends from asparagus. Add asparagus spears to boiling water, and cook just until fork tender, 1 to 2 minutes. Plunge asparagus into ice water to stop the cooking process. Pat asparagus dry with paper towels.
In a medium nonstick sauté pan, melt butter over medium heat.
In a medium bowl, combine eggs, cream, and salt, whisking until frothy. Add to sauté pan, and sprinkle with snipped dill. Let eggs cook, lifting edges with a spatula to let egg run underneath cooked edges. When omelet is firm enough to lift, flip and cook on the other side just until set.
Slide omelet onto a cutting board. Starting at end of omelet closest to you, place a row of asparagus spears. Make another row of asparagus next to the first one. Place a third row of asparagus on top of the first two. Roll up omelet away from you into a cylinder. Cut in ½-inch slices.
Spread a small amount of Lemon-Dill Aïoli onto a cracker, and top with an omelet slice. Repeat with remaining omelet slices, crackers, and aïoli.
Garnish each with a sprig of dill, if desired.
Serve immediately.
Recipe by TeaTime Magazine at https://teatimemagazine.com/omelet-canapes-lemon-dill-aioli-recipe/