Bring a small saucepan of water to boil. Add the beets and cook until softened, about 45 minutes to 1 hour (depending on how large the diced beet is).
Remove the beets from the water and place into a food processor.
Add the tahini, yogurt, salt, lime juice and garlic to the processor. Puree.
While the hummus is pureeing, slowly add the olive oil in a steady stream. Puree until smooth, occasionally stopping to stir.
Serve at room temperature or chilled with pita chips or veggies.