Possible Clues:

• Flue cleaner
• One of Dick Van Dyke's jobs as Bert in Mary Poppins (1964)
• It's a lottery after Stack cleans up after burning things to a crisp
• Apt second job for writer Lewis?
• *One 'as lucky as lucky can be,' in 'Mary Poppins'
• Does the dirty work after they've been fired with Fred in Mary Poppins
• Sooty chap?
• One to keep the home fires burning?
• Flue clearer
• He has stacks of work to do