I use one of the long arm sleeves that I got from one of the times when I was in the hospital. They fit the arm snugly in order to protect the IV needles in my arm from being bumped or pulled out when I played my guitar in the hospital bed.
It is long enough to cover my watch, which I wear on my right arm, and covers up to the middle of my upper arm. It is also flesh colored and is less obvious. I cut mine off just above the thumb opening.
Anyhow, it works great but they are a little difficult to find.
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Music touches the heart, but playing classical guitar can lift your heart and enrich your life.