Mine did that as well. Had it re-gassed at Austin Garages and was advised that there wasn't anything untoward in the gas (i.e. bits that tend to accompany the seizing). (Although it was overgassed a bit). Still whines from time to time now, but I don't tend to put it on that much due to economy hit!
To a degree I think some whine is normal, but it depends how loud it is I guess.
One person's whine may be different from someone else's.