Lack of eye contact is a trend among stutterers (probably also other people, but that's besides the point with regards to our grouping). I got mostly over it after having forced myself to maintain contact through many interactions in a long period of my life. It felt awkward all the time for me, but it's not certain that anyone really noticed. Usually, the other person would look away at some point, which was a sort of cue for their particular tolerance. Beyond that, it was a matter of incorporating the urge to look away into attempts at more natural pauses in contact. Nowadays, it feels much more flexible and not forced.