First off, it appears that Chrome has inherited a potentially serious security flaw from the old version of the WebKit rendering engine it is based on. Specifically, the browser has been demonstrated to be vulnerable to the Safari “Carpet Bombing” flaw that Apple addressed a while back, which could lead to malicious code being run on a victim’s computer. Google will probably patch this flaw a lot faster than Apple did, but this news will nonetheless put a bit of a damper on people’s enthusiasm for Chrome.
Meanwhile, another less technical but perhaps greater concern lies within Chrome’s end user license agreement, whereby a user apparently grants Google the rights to anything he publishes and creates while using their browser. You can read all about it here.