Should you stay on fluoxetine for a long time?

There haven't been too many studies of the potential effects of long term use but the National Health Service and the National Alliance for Mental Illness both feel that there are few, if any, long term effects for most people.
Some suspects would be weight gain, diabetes, tardive dyskinesia, and sexual dysfunction. If you've been on fluoxetine for 11 years these might have shown up sooner if they were going to happen.
If you want to try stopping the medication you should do it under a doctor's supervision and don't attempt it yourself. Also, for many people there's a good chance of a rebound of the original symptoms it was prescribed for.
I'd advise talking with your doctor before making any decisions.