Parallelism is a very important tool to have in your belt but to learn it well you must use it a lot until you get the hang of it. You're lucky to be using C# because TPL is the greatest library I've ever seen and combined with LINQ and method extensions it's just killer.
Answering your questions specifically.
When should I use it?
There are basically two reasons you might want to use TPL:
- Background processing: you want to make sure that your application is still responsive while doing an operation that might take a while. You must study and understand how to make calls asynchronously.
- Parallel processing: you want to make sure several threads are being used to execute your tasks in parallel making your code run faster (which works better on multi-core systems).
TPL will help you greatly in both scenarios (C# 5.0 has some new special tricks that turns asynchronous programming into kid's stuff).
Are there any best practices?
Yes there are. For Windows Forms for example you could use BackgroundWorker because it helps you deal with the fact that no call can be made to UI objects outside of their own threads.
There are many other but they will vary depending on what exactly you're doing (ASP.NET, WPF, Silverlight, WinForms and so on). Most of the time I use MSDN and StackOverflow but the fact is the more you use TPL in general the more you'll gain knowledge and the easier it gets to use it and to know when parallelism is an adequate solution or when it's not.
Is it just a waste of time in most cases? Is it suitable for a specific kind of applications?
There's no universal answer to this question, every project has to be put in perspective and analyzed. There are certainly specific types of applications that are more suitable to parallelism. In parallel processing for example:
- games
- number crunching applications
- image and video processing
- data processing
In background processing any kind of application that has a UI and manages tasks that take more than a couple seconds. You can find excellent articles about C# 5.0 async in here:
Link
Mobile applications are bringing the attention back to this subject because mobile platforms simply don't have the same level of processing power than desktops and usually users have very short patience when running an app. See this article for example about how background processing can create the impression your application is lightning fast:
http://speakerdeck.com/u/mikeyk/p/secrets-to-lightning-fast-mobile-design?slide=82
If you want to learn, nothing beats trying it over and over until you see the results for yourself (good or bad).