I was surprised that this was difficult to do. However I came up with this, which seems to work at least for my simple case. Can anyone recommend a better approach?
You must override the method post_save. Overriding methods is a good practice in Django: https://docs.djangoproject.com/en/dev/ref/signals/#post-save
I suggest you adding something like this into your model class:
def post_save(self, sender, instance, created, raw, using, update_fields):
if 'the_field' in update_fields:
# Do whatever...