You could try retouching the shiny part of the divot with some matte black paint if you were really bold (and had practiced on some throwaways). In general though, repairs like this are likely to end in disaster and if you've got an itch to try something you have to be able to accept a redial--which is where it's headed when things turn south.
There was a watchmaker/watch wizard in hong kong who primarily works with Rolexes who is scary good at "retouching" dials to optimize the finish without compromising the important elements (text, logo, etc). I've certainly never used him, but saw some of his work over on the Rolex forum, I believe. When I say scary good, that's precisely what I mean. You'll never look at a nice looking dial the same way again, and frankly, I think I'd be fooled 9/10.