She's A Superfreak! Superfreak! She's Superfreakin'... Yow!
Great song, right? Ok, so it's not your usual Samantha Fox, Whitney Houston, regular plain old bubble gum-flavored-ice-cream 80s POP, it's much more in a Gothic style, which was like a part of the movements going on in the late seventies and early 80s called New Wave, New Romantic & Neotragic Existence. It's all about showing how the happy, pop culture is only one side to the story and how there are other ways of thinking out there, just below the surface. This is a very short excerpt from wikipedia.org:
"Defining an ideology of the gothic subculture is difficult for several reasons. First is the overwhelming importance of mood for those involved. This is, in part, inspired by romanticism and neoromanticism. The allure for goths of dark, mysterious, and morbid imagery and mood lies in the same tradition." [from the section Gothic ideology]
As you can see, the style is very deep and its origins go back thousands of years, and I could go on and on about it. Or I could just redirect you to this other freak.