Possible Clues:

• Quiet as foreign article's brought in
• Be quiet!
• Gag the French coming in thereafter
• French article put in after secrecy
• Hamlet’s rest? As interrupted by the French
• It may be broken in a library
• The musical content of John Cage’s composition 4’33”
• ... following grasping half-idle mum
• Gag first couple from Lebanon, smuggled in after
• Put a stop to evil gripping the French church