Request to add an Archive submission option

What about archiving or moving old submissions to a different location so they're saved but not in the way?

I'm not quite sure if I understand your question.

But, if what you want is to delete old submissions from your account you could accomplish this by downloading your old submissions in an Excel spreadsheet and then delete them from your account. If the submissions include uploaded files, you can download these files using the following app: http://apps.jotform.com/app/file_downloader

Let us know if this could be a viable solution for you.
Thanks.