Yes, you can check your email sending. We provide you the log showing the send from & send to email, sending date&time, sending IP & hostname. You can check the log by login to your DNS Exit account, click on "Check Usage" under mail relay section. For each email sending, a link "Trace" is there to trace out if the email was delivered or not.
It may take a few minutes for your email sendings to show up at the login since it is not realtime. It may have up to 8 minutes in delay to show up at the log after you send an email.