Place potatoes between paper towels; press to remove excess moisture. Transfer potatoes and chives to a medium bowl. Season with salt and pepper, and toss to combine.
In a medium nonstick skillet, heat oil over medium. Add potato mixture; press with a heatproof spatula to flatten and form into one even pancake. Cook until underside is golden brown, 10 to 15 minutes. Slide pancake onto a plate; invert onto a second plate. Slide pancake (browned side up) back into skillet. Continue to cook until underside is golden brown, 10 to 15 minutes more. Slice into wedges before serving.