Nope. Doesn't sound familiar....
But I don't claim to have read everything by Clarke.. Probably have read only 3/4 of even his major novels and most widely published short stories.
Rats, I hoped you would know it. Now I have to check my library (extensive, eclectic and completely uncatalogued!) to find the name and check to see if it is indeed by Arthur C. It's just that this story is so prescient and germane to this topic, it deserves to be dusted off!