Using a veggie peeler, remove the outer green layer of the cucumbers. Use the peeler to make thin ribbons. Set aside.
Sprinkle the halved cherry tomatoes with salt and let sit.
On a large serving platter, layer the following: cucumbers, tomatoes, onion, olives, oregano and goat cheese. Drizzle with olive oil and vinegar. Top with a pinch of red pepper flakes. Use tongs to serve!