Possible Clues:

• Fashion designer's work?
• It might hold up your pants
• Spot for laundry
• Where duds are draped to dry ... or a literal description of 18-, 28- and 49-Across?
• Washing depends on it
• Washing up - and drying!
• Cord in some backyards
• Packed items that might take a number?
• Support on which one's clean habit depends
• Where washing dries