Drain the beetroot in a colander. Cut the mozzarella into slices. Arrange the beetroot and mozzarella on the plates like roof tiles.
Mix a vinaigrette from oil, vinegar, honey, salt and pepper and drizzle over the beetroot. Spread the cress over the carpaccio.
As an alternative, I have skewered small beetroot balls with mini mozzarella on toothpicks and arranged them on a plate, which can be great as finger food at parties.