To get around those, I render a "movie" I'll render ten or so frames. Maybe more, depends on the settings (Seems the longer the frame takes to render, the shorter that eye glitch lasts, time wise) Every still image render I've done is at really high settings, with 10 frames done. Then I'll use the last one because the eye will have closed, or gone to the position in the viewport.
IT'S A LONG WINDED WAY OF SAYING "Render as an image set and use the last frame from that"
Understandable! I do it all the time because I have time to burrrrn. Only takes a few minutes, really, though. But I mean, I'll pull my hair out trying to get every little detail (THAT I NOTICE, I forget a lot of stuff) right.
I know that feeling. Obsess over some small detail. Then even after all that, later you notice something you missed. Like that FoE video I did. there was a mistake i made i didn't notice till the video had been out more then a month. then I saw it and was like SON OF A *****! My only consolation is that no one else noticed it (or at least, no one said anything, which, on youtube, generally means no one noticed)
I noticed something in my recent AJ gif that annoys the /hell/ out of me. It's the ear. I accidentally timed it wrong. But I'm not the one who made the actual gif file, and I'm not asking him to make it a third tiiime. It's a horrid feeeeliiiing