There is no option to check the status of a suggested website
And editors are advised never to answer emails with questions about specific websites.
You might have misunderstood the option DMOZ offers.
Everybody can suggest websites. Notice the "suggest" , that is not the same as submit or add.
An editor can decide to look at a suggested website but he is not obliged to do so.
As a result time between suggestion and review of a website can vary between a few days and several years.
You can check yourself if a website is already listed, you can also check which websites we won't list http://www.dmoz.org/docs/en/guidelines/include.html
If a website is not listed and it also is not of the type we won't list than must be waiting review.
In all cases (listed, rejected or waiting review) there is no reason to suggest a website more than once.