After trying to troubleshoot for nearly a couple hours, I have realized a problem is occurring..
Up until recently, my website would refresh each time I made a change; to a widget, to the text of a given page, anything. Now, it does not want to reflect any changes I make in the dashboard. If I stay logged in, and I click "View Site", the changes are shown perfectly. However, when I log out and view the site as a typical user browsing through, the changes are not there and the site reflects the past version of it (without the changes).
I've tried to remove all plug-ins. Tried re-installing WordPress. Tried different plug-ins.. It's at the point where a solution is needed.