Great topic. The eye contact thing is so weird for me. My T has excellent eye contact, which makes me feel connected to him. His gaze is always just sort of burning into me, which can be uncomfortable. But it would be super annoying if he were trimming his nails during our sessions instead of looking at me.
I have trouble with where to rest my gaze, both when I'm speaking and when we fall silent. He rarely initiates conversation, and I don't always have paragraphs of responses, so there is lots o' silence sometimes. I notice that I sort of pin him to his chair with my eyes -- I focus just beyond the armrest on his right side, and then my eyes jump to exactly the same spot on his left side. It's kind of rhythmic, like I'm trying to sew him into the chair with webbings of my eye movements.
If there's anything different about the room, I'll fasten on that for a while. There was a book lying next to his chair that hadn't been there before, so I stared at that quite a bit last time.
There's also a sprinkler head way up high on the vaulted ceiling. I'm always looking at it. I'm sure it must seem that my eyes are wandering around like a crazy person's, but my T hasn't mentioned it yet (though he does mention it when I roll my eyes).
I often find myself raking T's body with my glance, in a completely unconscious way. I just suddenly realize my eyes have been sweeping around from his shirt to his knees to his shoes and back up to his calves, or even (God forbid, but it's happened) his pelvis. And then I realize it must look kind of rude! He never does it to me! (He's great looking too, which doesn't help -- aargh, that's for another thread though

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Another thing about eyes -- when I do look at my T, I tend to look at his right eye exclusively. The couple of times that I tried to look at his left eye also, and to sort of go back and forth and give them equal time, it made me feel like I was drowning. So weird. But it felt deeper, and I want to try it again sometime. It's just very difficult. I don't know why the eyes are so powerful.