Plastifix, used carefully, can restore a black stock to almost new...but it's not exactly cheap. Since this crack seems to be very narrow, and if you're not trying to achieve complete restoration, simple superglue may do what you want it to do.
I'd start by throwing it in a clamp and seeing if the crack tightens up a bit under moderate pressure. If so, loosen the clamp, clean the crack with a little alcohol, then carefully apply a small amount of superglue along the length of the crack (letting it seep in). If you have a needle applicator, you can do this pretty neatly. Tighten the clamp--but not overly tight--and when the excess glue seeps out, wipe it off quickly.
Caveat: when you clamp the stock, you'll be reducing its "bore" slightly, so a buffer tube may fit a bit tight. If you've worked with many old stocks, you'll already know you might have to sand the inside bore a bit to get it to fit.
I don't think the superglue will do any damage (I've never had a problem, at least) and it should be tough enough to stop the crack from getting any worse.