My wife found this folding clothesline for our camping trips.I can't weigh anything this light but I doubt it weighs more than one pound.She sewed a cloth bag with drawstrings to store it in.When traveling we just lay it in the floor of the camper.It is so light and folds for storage she keeps it in the house for everyday use.
http://www.walmart.com/catalog/product.do?product_id=9730040