You can use the "mailq" command to view the current mailq on your Exim system. This command will display all the current e-mail that is in the queue and has yet to be delivered, whether locally or remotely. It will also specify how long the e-mail has been waiting, as well as its size.
You can use the "exiwhat" command to view the current list of Exim processes, as well as what each process is currently doing.