Pound the chicken breasts to an even thickness, then season generously with salt and pepper. Preheat a large skillet over medium-high heat until hot and slightly shimmering.
Add 1 tablespoon of olive oil to the skillet, then carefully place the chicken breasts in the pan. Sear for about 4-5 minutes on each side until golden brown and cooked through—use a thermometer to check that the internal temperature reaches 75°C (165°F).
While the chicken cooks, mix honey, Dijon mustard, and lemon juice in a small bowl until smooth and combined. Set aside.
Once the chicken is cooked, remove it from the pan and set aside to rest for a few minutes. Keep the pan warm; add the remaining teaspoon of olive oil if needed.
Add the minced garlic to the hot skillet and cook for about 30 seconds until fragrant, with a slight sizzle and aroma filling the air.
Toss in the trimmed asparagus spears, cooking for 3-4 minutes until they turn bright green, develop a slight char, and become tender-crisp, stirring occasionally.
Pour the honey mustard sauce over the chicken and asparagus in the skillet, then cook for an additional 2 minutes, spooning the glaze over the ingredients to coat everything evenly and allow it to caramelize slightly.
Check the chicken’s internal temperature; it should be 75°C (165°F). Remove from heat, let rest for 3 minutes, then slice the chicken against the grain.
Arrange the sliced chicken and asparagus on plates, drizzle with any remaining sauce, and garnish with fresh herbs if desired. Serve immediately for a vibrant, glossy, and flavorful dish.