I don't think of it as "reusable" but you can unwrap and rewrap old-school cloth tape many times. (Until it gets so thin and worn that it rips.)

My frugality shows as here as I like 2 layers of tape for comfort reasons. So I hang up to worn outer layers to use as the inner layer for the next wrap. Means I can wear through the first wrap and not see bare bar. (The first layer need not be either continuous or even from the same rolls.)

Another place cloth tape rules is when setting up a "new" bike. Wrap with cloth and you can partially unwrap the tape and move the brake levers as many times as you need to get the bike dialed in.

Ben