I think he/she means Paycheck: http://www.imdb.com/title/tt0338337/

Assuming reliable and safe memory erasure were invented, I wouldn't mind such an arrangement if I could keep my skills and reputation, while forgetting only who I worked for and what products I worked on.

It depends on how much you can separate skills from knowledge. If you learn new things during your job and are forced to forget them, that can be a problem. For example, you learn a new programming language, then they wipe it from your memory.

Thanks. I hardly feel this film is in the common vernacular. If he had said book, maybe the Dick authorship would have made it more clear.

I actually didn't know it was a Philip K. Dick story, although that totally makes sense.

Paycheck, starring Ben Affleck:

   http://en.wikipedia.org/wiki/Paycheck_(film)

I was on a phone and not equipped to research what its name was, but yes it was Paycheck with Ben Affleck I was thinking of.