As the title stats, with SP 2010 a click on the the icon of a listview Webpart does not open the document. This was the default behavior in the previous SharePoint version. Microsoft has realized this, and posted a knowledgebase article to get back the expected click behavior.

http://support.microsoft.com/kb/2457975/en-us?sd=rss&spid=14944

The article shows you how to create a new XSLT file, which adds a link tag around the img tag of the icon.