The National highway transportation safety administration (NHTSA) recently opened an investigation on power loss and jerky power delivery of the DSG. While the number of DSG with problems is small, the problems reported which opened the investigation are serious and could result in a crash. This investigation is not limited to TDI, it's for all VW/Audi DSG. The NHTSA action number is PE09035 opened July 17, 2009 and currently covers 2008-2009 models.
While some DSG have a small delay in clutch engagement and power delivery from a full stop, this is considered normal and can be expected and compensated for by the driver. The more serious problems involve false neutrals for no reason, shifting into neutral by itself, and not being able to shift back into drive from neutral while at speed. These sorts of problems are not unique to DSG transmissions or VW since they can occur on any car with a defective part or faulty design. However, there are many more anecdotal problems reported than just the cases which resulted in the opening of the investigation. Ultimately, the opening of an investigation means only that there are problems reported which merit further investigation and this should currently be the only conclusion which one should draw from this action.