Possible Clues:

• Concern shown after beginning of television series
• Not a bit thick to come out after tea
• Paper publication's on time
• Paper beginning to tackle point in dispute
• It's herself that's just a bit thin
• A sneeze may call for it
• A this sounds cold and very thin
• Material from 'Time' magazine, perhaps
• The paper is soft and thin
• First of those children to produce a Kleenex