Possible Clues:

• That's the last place you'd be found with a sore throat, by the sound of it
• Last place?
• Sounds as if, if you've got a cold you may end up in this
• Too much of the sound of this may have one in one
• Corpse's chest
• With a sore throat, by the sound of it, that's where one may end up (6)
• On top of it all you may have too many falsehoods, perhaps
• The sound of what you'd be doing with the cold - that's for dead sure
• That's the very last place to be clearin' your throat, by the sound of it
• That's the last place you'd be if you'd got in in the neck, by the sound of it