On my first wet tests, I was in 5 different tubs in one morning. I will say that I felt a little dizzy after getting out of the last one. I think the temp was between 102 and 104 in these tubs. Now being a hot tub owner for 5 months, I can say that soaking in the tub is something that your body gets used to.
If the chlorine was making your eyes water, it was probably at a very high level like Kev said. You will smell chlorine in a chlorine tub, but it shouldn't make your eyes water. I actually like the smell myself, to a point.
Aromatherapy. Therapy that you smell. I don't buy it. If it's just to smell something other than chlorine in the tub, I can understand that.