Not any more liability than imgur has. Reddit already removes and ban tons of bad stuff when it's reported to them, even though they host anything. I'd be more

Not any more liability than imgur has. Reddit already removes and ban tons of bad stuff when it's reported to them, even though they host anything. I'd be more concerned about copyright. Most of the stuff posted on reddit already violates copyright to some degree (e.g. /r/gifs which is entirely people reuploading segments of youtube videos without the consent of the creators.)