I wouldn't agree that its OCD. OCD is not obsessive cleaning either, its obsessing over seemingly insignificant things. Such as, a sufferer may not be able to leave the house unless they turn every light switch off and on 16 times. And if they are not able to do this they become very distressed.
It's compulsive hoarding. Sufferers develop emotional attachments to items and cannot bear to part with them. Even if its what you and I would consider is rubbish.