1908-S

I use the stuff, that looks like a good candidate for it. I think there would be a darker brown area where it is green. It is a key date though so I am not recommending anything as to what you should do with it. If you have other common wheat cents in a similar condition, I would suggest practicing on them first and make your own choice about trying to improve the 1908 S.
It looks to have very nice details.At least XF.

I've used Verdi-care also, and I agree this is a good candidate and would echo all of TheNickelGuy's advice about practice specimens, etc.

I'm gonna order some Verdi and give it a go on some of my skanky coins.

The before pictures are after a rinse in acetone to remove any latent grease or debris from circulation and to pull any oil or moisture out of the verdigris. This will tend to make the verdigris more noticeable (lighter color), but I think it makes it easier for the Verdi-care to penetrate and remove.

The color difference between the non-green parts of the coins is mostly from the white-balance of the camera (you can see the background white is a bit different). There are a few small hard lumps of verdigris still left afterwards, and some odd color, but it's a pretty big improvement.

There are several other threads with before/after pictures.

Got some Verdi-Care ordered and some corroded pennies, just waiting for it to get here.

It wasn't a long soak, I just swished it around in the acetone for a bit. Mostly I wanted to be sure to remove any hand oil that was still on it from circulation. You can see I wasn't even that thorough - there's still some gunk between the rim and the "L" in liberty. I don't know if it's necessary, but it probably can't hurt. It will probably make the porous parts of the verdigris look worse at first because it would remove any moisture or oil, which would lighten the color.

There are a number of threads on using acetone, so please consult those on safe handling, minimizing inhalation, etc. if you haven't used it before.