WordPress Theme Editor Not Working?

I am trying to edit files via wordpress, like the footer.php, header.php, etc.

I update the file, and it ‘takes’, but the website never refreshes. I go to download that file via FTP, and the changes are not in it, which would explain why changes are not taking effect on the web, but why are they ‘taking’ in wordpress, but not actually changing the files?

I can go back into the editor, and the changes are still there, but the actual file will not have the changes.

I checked permissions for the wp-content folder, looks good, I also re-uploaded the wp-admin folder, no luck. Any ideas??