Possible Clues:

• Paper with an Economie section
• Daily reading for many Parisians
• Paris daily
• Old men swimming with energy daily across channel
• Newspaper of record since 1944
• In Paris, a daily drink's no answer
• One served in a glass, not a paper
• Daily reading on the Metro
• Paper with a Société section
• Newspaper name that becomes a beverage if you insert an 'a' after its fifth letter