Place beets in a saucepan with enough water to cover. Bring to boil, cover, reduce heat and simmer for 20 minutes or until tender. Drain water, and allow beets to cool. Peel and dice.

Meanwhile, pour olive oil, red rice, water, and 1 teaspoon salt into a saucepan; place over medium heat. Bring to a boil; reduce heat to medium low, cover, and simmer gently until the rice is tender and all the water has been absorbed. Remove saucepan from heat, and let rice cool to room temperature.

In a large bowl, mix together beets, kidney beans, bell pepper, onion, radishes, and chives. Season with salt and pepper.

In a medium bowl, whisk together horseradish, mustard, and sugar until well combined. Whisk in red wine vinegar and oil until smooth.

With a fork, fluff rice. Stir into vegetables, and mix with dressing. Cover, refrigerate about 1 hour. Spoon into a large, shallow serving bowl, and garnish with fresh chives.