Combine the cucumbers, scallions, sour cream, kosher salt, and about 10 cracks of fresh black pepper in a large mixing bowl. Toss well to combine.
Cover the bowl and let sit in the fridge for about 3 hours (give the cucumbers a mix about half way through).
Mix the cucumbers well before serving. Taste and season with more salt if needed. Pour the cucumbers into a bowl and top with more freshly cracked black pepper and the chives.