Possible Clues:

• Butt out here?
• A trashy novel not often seen in public now
• Where to rest cigarette
• You set your butt down here
• Smoker's aid missing outside hospital
• Smokers' need to get lost outside hotel?
• A high tar's place and a shy tar's place?
• Place for detritus from cigarettes, cigars etc
• Target of a flick
• Item disappearing from restaurants