Can I debug while running a VS Unit Test?
Yes, with the Visual Studio Test project, you can set breakpoints and step through your code.
Be sure to run your tests with the Debug menu -- Tests -> Debug -> Tests in Current Context. For any given test class or test method, use the keyboard shortcut Ctrl-R Ctrl-T.
When your cursor is in a method (either a test method, or the code covered by the test), it'll break on any breakpoints in that method, or any breakpoints anywhere in the code execution path. If your cursor is on the class, or in between test methods, it'll run all tests in the class. Breakpoints will be hit here as above.
The answer by P. Campbell is not exactly right. If you start debugging a project (such as a WCF services site), it is impossible to start any unit tests, debug mode or not. The options to do so are simply grayed out in Visual Studio 2012.
This means you simply cannot debug out-of-process code from a unit test. You can only debug code that was directly called in process by the unit test.
This is a major problem in VS2012 that they need to fix now.
In VS2015, select:
Test->Debug->All Tests
Or you can highlight a specific test in the editor and select
Test->Debug->Selected Tests