Of course. At least 1 Cent! I want to share this webpage with you - http://cointrackers.com/coins/13656/1968-s-lincoln-penny/
It's nice looking. It shines. It's 49 years old, has some bag marks and 258,270,001 of them were minted. Despite the high mintage, it ranks as the lowest minted non-proof Memorial coin. It's worth $.01 cent.
For an example like that, I'd happily pay five or ten cents. I certainly wouldn't spend it. But that's because I spent countless hours as a kid searching fruitlessly through my east-coast change for anything from San Francisco.
Ha! I'm glad to hear that I'm not the only one who did that as a kid. Here's something that we did as young coin collectors in the early-70's: We would go to the laundromat in the shopping center near our junior high after school and feed clad quarters into the change machine hoping to get back a silver dime. We were never out any money and for every quarter, we had two chances of getting something with silver. It wouldn't take us long to clean out all of the dimes. Even in 1972/73, there weren't that many silver coins remaining in circulation.
That looks like the extrememly rare "up side down reverse" cent. I'm surprised no one here has noticed it yet. I would hold on to it.