When you use the "Suggest URL" form on dmoz.org, you suggest that an editor take a look at the site and review it for possible inclusion in the directory. There are no time frames for this review. Many sites are reviewed within a few weeks after they have been suggested, while others have to wait for a review for months or years, and others again are listed without ever having been suggested for review. This is because of the volunteer nature of dmoz.org; editors are free to edit where they want to and how much they want to within the limits of their editing rights. Somebody will review your site suggestion, but there is no way of predicting when or who it will be, because several editors can edit in every category.
By suggesting the site for review to dmoz.org you have done all you can to bring it to the attention of the editors, and there is no way of speeding up the review process for any specific site. Because new site suggestions overwrite old ones, it can be counter productive to suggest the site again. Messages sent to editors do get through even though there is an error message, but editors are advised not to enter into discussions with website owners, because the site owners, quite naturally, have different proprities from the editors and such discussions do not tend to be very productive.
