I would add that this would be useful for tasks and issues.  Could the description be displayed in the header?  If not, then a hover over would be a good alternative.

Description - The system currently allows anyone with manage access to a project the ability to add a task directly to ANY open Iterations.  There isn't any validation on whether the user has access to the Team.  This also bypasses the backlog grooming/refining processes for Scrum.  The team should ...

yes please!