What they don't tell you about CFL's is that they give off ultraviolet radiation, the kind that can cause cancer. Many office lights have a "filter" over them but some - like in a vet's or doctor's office - they may not.
It's not good for anyone to be exposed to UV radiation for any extended period of time. You can wear a hat at work, as silly as that may look.

Or sunglasses.
What color are your eyes? People with lighter, less pigmented eyes/skin can have more problems. You may want to bring it up to your eye doctor, sometimes they have suggestions too.
If you ever get a rash after being near CFL's, bring that up to your primary doctor and/or a dermatologist!
Annie
http://sun1.awardspace.com/Sun_Protection/lighting.htm