Once you've set up an alert within Mention, go to your settings and then 'Manage Notifications'. From here you can select the option to get a daily digest email of any mentions (I'd recommend doing this). You also have the option of getting desktop alerts - I personally find them annoying, but if you really want to stay on the ball then they could be a good idea.
At our agency, we work with sites of varying sizes, from very large to quite small, and recently, we have noticed a trend at the enterprise level. These sites aren’t relying as much on Google for traffic any more. Not only are they not relying on Google traffic, but also, the sites are getting less than 10 percent (or slightly more) of their organic traffic from the search giant.