There are significant privacy issues with it. On the whole, Google is great but like Microsoft before it, the Geniuses at Google are perhaps getting a bit big for their britches. They are really collecting a lot of your data. Some it, you just accept. For example, I twitter and all tweets are indexed by Google. But when you use Chrome, unless you opt out, Google stores and has access to all of your searches as a "service" to you (--and them).
Also, the auto-complete URL feature is created by querying the search engine as you type urls, and that behavior and search is also stored and used by Google. Google collects this data as yet another data point for user behavior. It has been awhile since I've read any news on it, but as recently as last September, many reviewers and watchdogs had gone so far as to call Chrome essentially a keylogger.
