My eyes tend to wheel about when I stutter and sometimes it closes my eyes. I guess it's just natural for people with stutters because your body keeps moving but your words don't. I can move my hands around, still do tasks while I stutter. It's like your mind and speech are on pause and your mouth is malfunctioning but the rest of your body can operate just fine still. People find it annoying but im learning to accept what happens. Hope this helps!