WP Job Manager includes a recent Jobs Widget which displays your job listings in date order:
↑ Back to Top Widget settings
The recent jobs widget has 2 settings:
Choose a title for your widget and choose how many jobs you wish to show.
↑ Back to Top Customising content
If you want to customise the content of each job listed in the widget, you can use a template override. The content is stored in content-widget-job_listing.php.