Lyric discussion by PayPaul 

Cover art for Happy Death Men lyrics by Echo and the Bunnymen

The phrase "Polish and shine" seems to be only of the only clues to its meaning. My prejudice would lead me to think that Ian may have been speaking of corporate ax men or kow towers to the corporate mentality. Is it just a serious subject of mortality turned on its head to produce silliness. Nursery rhymes often were written to disguise discontent with the rulers, movers and shakers of the day. Perhaps it's a British reference that this American listener may not be aware of. What is it exactly that the "Death Men" are standing in line for. Usually in mythology, Death is represented as a lone, cloaked figure with a scythe. This speaks of an organization of "Death Men".

@PayPaul Actually, Will Sargeant wrote the lyrics to this one. It may be the only Bunnymen lyrics Ian didn't write. You can tell by the repetition it's stylistically different from early Ian lyrics.