This can be useful in naming objects and in custom logging. Right now the user has to find some way to record it separately, but TestComplete already knows this name so it should be easy to expose. ...
You can do it in Javascript like this...
ProjectSuite.Variables.currentTestName = arguments.callee.toString().match(/function ([^\(]+)/)[1];
See http://stackoverflow.com/questions/280389/how-do-you-find-out-the-caller-function-in-javascript