Sounds exactly like what my DD went through ("I dream of Jeannie" blinks is a good description). She started at around 1.5 y.o. (which I've heard is very early for tics) and it got worse when she was tired, crying, and/or cranky. Assuming everything else is normal, the best advice we got from our ped was to ignore it. Pretend like we don't even see it. Because any reaction from us, even the most subtle ones, can exacerbate the problem. Over the years (she's 6 now), the blinks have slowly subsided, and now I can't even recall the last time I saw her do it.
Sorry you're going through this... I remember being totally freaked out and googling tics and getting more freaked out. Hopefully it's just a phase. Good luck!