Take a Dremel hand held grinder. Put the small cut-off wheel on it. It is a carborundum disc about 1.25" diameter.
With a steady hand, or make a clamp on or magnetic-held guide, carefully clean out the grooves in the jaw checkering.
It is tedious, but can be done. The jaws are usually hard steel, so the cut-off disc will still work well, better than a hand file.
And with this method, you can even out the more worn areas of well worn jaw faces.
This method also works on Reed vise jaws which are cast into the jaw towers and not replaceable without machining. [except for the very last few years of oval-badge Reed 'R' models].
Reed vise jaws are checkered with a curved pattern, and with care, a hand held Dremel will work very well to clean out and deepen the grooves.
PierceA