Melt Butter: In a heavy skillet over medium-high heat.
Cook Carrots: Add carrots, season with salt, and cook until they begin to brown, about 5-6 minutes.
Add Whiskey: Reduce heat to medium-low, pour in whiskey, and cook until evaporated, about 2 minutes.
Add Sugar: Sprinkle in brown sugar, cook until carrots are tender, about 5 minutes.
Thicken Glaze: Raise heat to medium-high to thicken the glaze, about 15-30 seconds.
Season and Serve: Season with cayenne and black pepper, garnish with thyme leaves.