Possible Clues:

• Skirts of raffia, that fibre
• Fabric called 'artificial silk'
• Or any (anag) — fibre
• Fabric, light, no backing
• There's something fishy about material
• Fabric that becomes a coloring stick when a 'c' is added to the front
• Fabric in some sheets and curtains
• Artificial fabric in drawer Charlie got rid of?
• Material in drawer Conservative ignored
• Fabric Raymond gets removed from boards