Position an oven rack 6 inches below the broiler and heat the broiler on high. Line a large rimmed baking sheet with foil.
Combine 1 tsp. of the oil, the garlic, cumin, and 1/2 tsp. salt in a 1-quart saucepan over medium-low heat; cook, stirring occasionally, until the garlic is golden, about 2 minutes. Add the chipotle and honey and stir until heated through, about 1 minute. Remove from the heat and stir in the lime juice and zest.
Rub the flank steak with the remaining 1 tsp. oil and season generously with salt. Transfer to the prepared baking sheet and broil, turning once, until slightly browned and cooked to your liking, about 3 minutes per side for medium rare.
Spread the glaze over the top of the steak and broil until it begins to bubble and darken in places, 1 to 2 minutes. Transfer to a cutting board and let rest for 5 minutes. Slice against the grain and serve.
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