This is a surprise to me, as Adobe is a very good provider of useful products.
As with all media coverage, we must be patient and not be alarmed by the initial identification of a 'problem'.
However, as it does seem to be a security risk (hackers can access your computer without your approval), it is prudent to disconnect Adobe reader now and reconnect it when it is confirmed to b secure.
The simple answer is to uninstall Adobe Reader for now ... it is easy to re-install when they have fixed the exposure.
The more vague answer is there is no positive proof of if/what hackers extract from your system without your knowledge ... but they appear to be able to access your system without your approval.
If you need to read a PDF files in the near future, you can install this PDF reader which is quite safe and can be used for all PDF files. I have tried it and it seems to be faster than Adobe Reader.
I WILL STAY WITH THIS TOOL INSTEAD OF RE-INSTALLING ADOBE READER, FOR THE FORSEEABLE FUTURE.
I will let you know when Adobe Reader is secure once again. Planned for JAN 12, 2010.