There is one more method that no-one seems to have mentioned.

Cork dust and glue will fix it so that visibly you can almost not tell
there was a divot once, but if you are doing repair on the exact spot
where your index finger is touching then you will definitely not like
the feeling of hardened glue on that spot.

I have built and repaired a number of rods and allthough it might seem
a bit strange I d suggest cutting away a bigger piece than just the
divot, then using a cork ring for the purpose of making your own
handles to replace the bad part. Just shape it into the piece that you
cut away, using a razor.

When gluing the new piece in place use as little glue as possible,
without risking that the piece will losen again. Oh, and use a flexible
kind of glue, not the epoxy type.

/Roger