I use recently closed reports constantly on my forums and here. Allows my staff and I to see what's been dealt with (via reports at least) in the last day. If nothing appears, I know I don't need to catch up on issues.
As for having a separate section for assigned reports, I personally do not see the need nor have I run into a case where it has been necessary for me to require it. My policy (& at sites I moderate) is to deal with reports ASAP so the list is never long enough to warrant it.