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When you on the home page of tasks assigned to Person A (me). I have a list of past due, current week, upcoming. I may have a task named as Tax Preparation and I may have 6 clients with that same task. Unless I NAME the task with the client's name there is no way to see from the overview of outstanding tasks page WHICH client a specific task is assigned to.
My suggestion: Add a column that shows the client to whom the task is assigned.