What rules? Pick them, rules of storytelling, rules of filmmaking, rules of editing. The only logic it follows is dream-logic, but who's the one dreaming? I mean, I know Dali & Bunuel had dreams that contributed to the film, Dali dreaming about the hand crawling with ants, Bunuel with the cloud cutting across the moon, but who's the person having the dreams of these sequence of events within the frame of the movie? Of course, that's assuming there's a frame to begin with.
This film begins with a man sharpening a razor blade, and a cloud splicing across a moon, before the man slices the blade across a girl’s eye. (Actually it was a calf’s eye, which, um, better, I guess? [Shrugs]) Then we see a transvestite fall off a bicycle. A girl, who was reading about Vermeer sees the transvestive and helps him up to her apartment, (Assuming any two scenes are actually in any remote way connected to each other to begin with, which is at most a stretch.) . Then she's seen sorting ties and collecting men's clothing. The transvestite is now in the room with her and stares at his hand, which has a hole with ants coming in and out it and crawling all up and down his hand. Then there's a severed hand on the street that's being picked at by a cane by a man, or a woman, and now there's a crowd. An officer helps the woman collect her severed hand and puts it back into her, box that looks like the tie box the woman at the window had earlier. Then she stands in the street until a car runs over her. Now, the Girl in the room defends herself against the Transvestite, I think, who's now a man with ants in his hands, I think, who’s just groped the hell out of her breasts (silent film rape, maybe, I guess?).while fantasizing about, her being naked and feeling her up...? He then chases her around the room before she defends herself against him with, I think a racquet of some kind. He then tries attacking her again but is slowed down by dragging a piano with two dead donkeys, two stones tablets (presuming the Ten Commandments), and two priests on his back.
And then it gets weird.
Mostly though, "Un Chien Andalou" exists best to be used, the way my teacher used it, just to show others in order to freak them the fuck out.