Obsessive Compulsive Disorder (OCD) Support Group
Obsessive-compulsive disorder (OCD) is a psychiatric disorder, more specifically, an anxiety disorder. OCD is manifested in a variety of forms, but is most commonly characterized by a subject's obsessive (repetitive, distressing, intrusive) thoughts and related compulsions (tasks or rituals) which attempt to neutralize the obsessions.

You are on a very low dose and i like that as their is a trend in the medical community to go from the low dose to work up to the lowest possible effective dose.
The concerns you have a valid. Do some research on the medication and have a good talk with your pharmacist.
Good luck.
http://www.drugs.com/comments/fluoxetine/prozac-for-anxiety-stress.html
Best Wishes.