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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.
Sharki, I agree but, for me, the issue goes beyond access and pass codes. Again for me, the fact that I open my Dropbox account from my laptop during a meeting at customer site, gives third-party people a chance to see what have I been dealing with. For example, Customer X may not care about others' documents (say Customer Y), but they will know that those other companies might see theirs in any other meeting.
Dropbox's developers must give us the option to remove or hide recent files from our dashboards.