It is good practice to monitor outbound spam, if a computer gets infected with a virus or your exchange passwords are compromised the attacker may be able to use your Exchange/Office 365 mailbox to send out spam.
This video shows you how to setup notifications if any outbound spam is blocked, if outbound spam is detected your administrator will get an email informing them of this and be able to take the appropriate actions.
To block set the notifications
-Go to EAC.
-Open Protection
-Click outbound spam
-Open the default policy (or any other policy)
-Select Outbound spam preferences
-Tick the Send notification to the following email address or addresses when a sender is blocked for sending outbound spam.
-Enter the email you want the notification to go to.