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Some people deal with confidential files and use Dropbox for these. It would be very useful to allow people the option to clear their "Recent" files at will to allow more privacy and discretion.
And still no update on this? This is one of the main reasons why I use free version of Dropbox and have no intention to purchase a bigger plan. Absolute lack of control on my desktop app. If you cannot provide local security and fix those issues, how can I trust you to provide online security? That's why I use other (safer) apps instead of Dropbox for important files. Dropbox is used for irrelevant things which can be accessed by anyone.