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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.
It truly is a disappointment that this issue still exists. I am currently looking into options to replace DropBox for my entire corporation, and abandon it completely.
F.Y.I.: I know of two other, much larger corporations, that are preparing to do the same thing (abandon DropBox), for the very same reason. You should listen to your PAYING customers... We do NOT want this feature forced upon us. We want the ability to CLEAR IT whenever we want, AND the ability to disable it in such a way that it no longer tracks activity unless we tell it to start again (with no record of any activity before we tell it to start again).