Using a vegetable peeler or julienne peeler, carefully slice the cucumbers into thin matchstick strips, revealing bright green flesh.
Repeat the same process with the peeled carrots, creating colorful, uniform julienne strips.
Place the sliced cucumbers and carrots into a large mixing bowl, allowing the vibrant colors to contrast beautifully.
In a small bowl, whisk together the vinegar, olive oil, honey, salt, and pepper until the mixture is smooth and slightly fragrant.
Pour the dressing over the vegetables, then gently toss with two spoons or salad tongs until everything is evenly coated and glistening.
Finely chop the fresh dill and sprinkle it over the salad, giving it a fresh, herbaceous aroma.
Give the salad one more gentle toss to distribute the dill evenly, then taste and adjust seasoning with more salt, pepper, or vinegar as preferred.
Transfer the salad to a serving dish or bowl, and let it sit for about 10 minutes to allow the flavors to meld and the vegetables to slightly soften.
Serve the cucumber carrot salad cold, enjoying the crisp textures and bright flavors with every bite.