One of the CSI type shows had this doctor who kept going over 8 cases, just in case he figures one of them out. (because there is something he missed, he's sure of it)
If it was real world, I am sure his commander would walk in, ask him what he is doing, then point to the cart full of cases that haven't even been looked at, give a scowl and walk out.
Ha! You hit the nail on the head! Cases keep coming in, whether the investigator likes it or not. If an investigator gets behind in their case load, their C.O. (Commanding Officer) would absolutely take notice and reprimand them accordingly. But, if one were so inclined, I guess you can take your work home with you too :-)