Are generic versions of duloxetine as safe as the brand name drug?

Yes. Generic medications have to be approved by the fda and are essentially the same as branded medication. Some differences in the coloring, medication carriers and how actual meds are presented may cause side effects including allergic reactions or alter clinical responses to some degree. The active ingrediant may vary by as much as 10% above or below branded ingrediant, effective, different but safe.
Yes. Yes generic versions of duloxetine should be safe along with any other generics although i'm not sure that a generic of duloxetine is available yet?