Depending on the package you select it is probably not the cheapest solution around. But it is one of the best.
We moved from a single google inbox to LiveAgent a while back. There was a lot of irritation at first since the way we dealt with support had to change a lot. But looking back, changing the way we do support, was the right thing to do.
Live Agent heavily relies on departments. Which makes it easy to transfer a ticket to the right people, cutting down on our response time. Even if there is no clear distinction, I think any organisation can be devided up into departments. 1ste line support, 2nd line support, accounting, ... A ticket might get transfered between departments multiple times, but that's a good thing. Since you don't have to keep track of them, the ticket will get transfered back to your department when needed.
The departments also allow us to go to the next level. Setting up multiple offices in different countries is now easy, since we can simply create a new department and create a rule that will automatically assign tickets based on the country/language.
I do have to mention a couple of less than ideal things. There are some minor bugs in the application. Sometimes it completely crashes and has to be reloaded. I have yet to figure out why this happens. Luckily no data is lost though, it's just a minor inconvenience. There is also a very annoying bug in the rich text editor where it uses the same short cuts as the application (ctrl + i to put something in Italics has a different meaning in the application). So you're constantly fighting with these keys, I hope they get that resolved soon. There were also a couple of other bugs, but those got resolved quickly by the support team at LiveAgent/QualityUnit.
And that last one is actually what makes me recommend Live Agent. The program isn't perfect, but remember that no program ever is. The team behind this, is really trying to build the best solution out there. And they always respond quickly to any issue or question you might have.
Give them a try, they have a free trial.
Chat integration (internal and customer chat)
Cloud based (works on mobile as well)
Short cuts in rich text area are conflicting with the ones in the application
Value for money
Ease of use
Likelihood to recommend: 9/10