Progress of Submission Form

Is there a widget or something that would let the person know who filled out the form that it is in progress of being worked on?

Yes, it's indeed possible to do that, you only need to add the progress bar widget to your form, here's the link: https://widgets.jotform.com/widget/progress_bar 

This guide will help you to add the widget to your form: How-to-Add-a-Widget-to-your-Form

Hope this helps.