I'm not sure what you mean by 'registering'. There are two things anyone can do at the dmoz.org website.
(1) You can suggest a site. If you do that, your suggestion will be visible to editors who are looking for sites on that particular topic. (Nobody knows when an editor will be looking for sites, or whether your suggestion will seem helpful, until after the event.)
(2) You can volunteer to edit a category. If you do that, your application will be reviewed by experienced volunteers, and you should get a response. (For English-language categories, the response is usually pretty quick--a few days; it will probably take longer--up to a few weeks--for some foreign-language categories.)
There's no "pipeline" or "queue", so the concept of "status" really doesn't apply. To the editors, a suggestion is "useful" or "a waste of time"; it will be kept until it has "no further usefulness". And that will be, whenever editors have considered every aspect of the suggestion, and done whatever was considered appropriate. (What would be the point in telling someone that their suggestion is of no further use. What do we expect them to do with that information?)
And with a volunteer application, you'll know where you are, because there will be a response as soon as someone knows what it should be.