Hi,
My nose ran nonstop the entire 6 months I had chemo (5FU, Leucovorin, Oxaliplatin, & Avastin). My eyes did bother me also. I have always worn contact lenses, but had to stop and wear my glasses instead. I just started wearing the contacts again (about half the time, since I'm now also used to wearing glasses). My eyes sometimes would be irritated and dry, then sometimes be extra teary. The 5FU can also sometimes cause mouth sores and also sometimes peeling and sensitivity on palms of hands and bottom of feet. I'd go through cycles of having these different symptoms each time, then they'd go away. I had my chemo over three days, once every two weeks. Not everyone gets the same symptoms & it might depend upon how much you're getting, but since I experienced the runny nose and eyes issue, I imagine they're pretty normal.
Just remember, as annoying as it is, you can bear anything temporarily- just remember why you're getting the chemo!
Take care & blessings to you-
Lisa