Less a fetish and more a sexual fantasy (I don't need it to get off and due to it's unrealistic nature, it's not gonna happen)
>what you're into
Women magically divided in half at the waist. Still in control of both halves. A major subset of the Natural Body Magic fetish (Modular Body Magic as some would like to call it).
>what you like about it
It opens up a world of possibilities in sexual positions: the most extreme method of '69,' a sense of voyeurism if she goes down on herself, possible enhanced teasing and foreplay. I would accept it as a subset of "objectification," but for some reason (unlike a large number of those in the NBM/Modular community), I am not enticed by either the woman's top half or bottom half on their own. I need both halves of the woman to be present in the fantasy scenario for it to even feel enticing and enjoyable. I guess it's just a means to enhance romance and intimacy in literally the most extreme way.
>why you think you have it
Beetlejuice, for certain. Puberty + the magician's assistant in the afterlife lobby = a permanent fantasy. I do remember seeing an episode of a Candid Camera-esque show in the early 90s that featured a kid being left alone in a room with a woman sawn in half, but the gag was the box with her lower half ended up sliding off the table and walking away. But mostly Beetlejuice.