Spectate lets you assign tweets to specific users or groups. Those user will be notified via email that a tweet requires their attention.
To assign a user to a tweet, click on the Marketing tab on the left side, and then select Analyze -> Conversations. This will show you the conversations/tweets associated with your Twitter account.
Find the tweet to which you want to assign a user and click "Assign to User" in the Actions column, which will show the "Assign to User" section.
Select a user or group from the drop-down box and click "Assign". That user will then be notified of the assignment.