Cook the pasta according to package directions. Drain, rinse under cold water, and allow it to cool completely.
In a large mixing bowl, combine the cooled pasta, chickpeas, cucumbers, pickled beets, and feta cheese.
Pour the Greek dressing over the salad. Toss everything gently until evenly coated.
Optional: Refrigerate for 30 minutes before serving to allow flavors to blend.
Serve chilled and enjoy.