How to Keep the Right Elbow Tucked in the Golf Swing. Part of the series: Improving Your Golf Game. Keeping your right elbow tucked in the golf swing still requires you to swing back in such a way that it gives you enough freedom in your arms for the swing itself. Keep the right elbow tucked in the gold swing with help from a member of the University of Southern California's storied golf team in the 1980s in this free video clip.