Possible Clues:

• Art of preserving dead animals
• Mounting horses, say, Army team turn scarlet - gosh!
• It's for hire on the ruddy turn with my stuffing
• No seconds for Xmas? Tired? New Year is stuffing!
• Business that's dead stuffy
• The art of stuffing and mounting animal skins
• This enables you to have mounted the cab that turns red by my side
• The art of filling in some that are late?
• Stuffing mix ready for mincing on time
• Ready-mix textiles primarily prepared for stuffing animals?