Actually, I've never heard it as "screwed, blued, and tattooed" but I've heard "stewed, screwed, and tattooed." "Stewed" means "drunk." (But you probably knew that.)

Which reminds me, my wife and I were once shopping for a new sofa, and the salesman praised one model by pointing out how well built it was. He said it was "glued, screwed, and double-dowelled." That made us laugh (but I don't think he got the joke).