Perspectium scheduled jobs are listed under Perspectium > Control and Configuration > All Scheduled Jobs.
You can view details on whether jobs are active and when they are jobs are scheduled in All Scheduled Jobs. These jobs include the Perspectium MultiOutput Processing job that post messages to the Perspectium Integration Mesh as well as the Perspectium Check Outbound Message Limit job that checks if your instance has reached the maximum amount of messages in your outbound table.
NOTE: This module is only available for users with the admin role.