Whisk together the lemon juice, Dijon mustard, vinegar and honey in a medium bowl until combined. Slowly pour in the olive oil, whisking constantly, until the vinaigrette is smooth and thickened. Stir in the chopped dill, lemon zest and 1/2 teaspoon salt. Set aside.
Fill a medium wide-mouthed pot with 2 inches of water. Set a collapsible steamer basket insert into the pot, then bring to a simmer over medium-high heat.
Put the carrots in the steamer basket and cook, covered, until tender when pierced with a knife, about 8 minutes. Gently toss the warm carrots with the dressing in a large shallow serving dish. Allow the dressing to absorb into the carrots for 5 minutes before serving.
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