Possible Clues:

• It uses crumpled paper
• Thin skin for suites
• Cloth
• It is first to be found in 19 across and is all so thin
• Thin paper; concoction (of lies)
• See 11
• It''s not a bit thick that Susan should follow 15 across
• It's not a bit thick for a this to sound cold
• Is it not a bit thick so to sit back and take action?
• Although it is going with the girl, the material is not a heavy one