I assure you, Chess.com is safe. For more information on what is happening, please see this link: http://support.chess.com/index.php?_m=knowledgebase&_a=viewarticle&kbarticleid=699 .
GOOD BYE
Let me guess, you're using Norton Anti-virus (the cure is worse that the disease!) Try AVG from Grissoft for really good Anti-Virus.
For a truly virus free experience buy an elderly Mac. Mine cost me £35 and does everything I need that is internet related.
Or Linux!
No more worry about viruses, defragging, or buying expensive software. A little short on chess software though.
TOO MUCH TROUBLE WITH TROJANS ON THIS SITE.
I'LL TRY FINDING ANOTHER SITE THATS SAFER
Good Bye 
OK thanks - wondered why there should be bronze age middle eastern soldiers on a 21st century website - thought the Greeks killed them all - lead by Brad Pitt
Weird, I've had no problems with the site and I've logged on with three different computers - all PCs.
TOO MUCH TROUBLE WITH TROJANS ON THIS SITE.
I'LL TRY FINDING ANOTHER SITE THATS SAFER