Plugin: ViewSiteLink

[sal]

An alternative solution if you use the Custom Admin CSS plugin is the following CSS. It just adds a faux tooltip when you hover the title in the back-end:

Code:

.header h1 a:hover:after {
  z-index: 10;
  margin: .8em;
  position: absolute;
  padding: .5em 1em;
  content: "View website";
  background: rgba(0,0,0,.75);
  font:400 11px/1 'open sans', sans-serif;
}

If it doesn't work at first, you'll just need to use a better browser.