If you taper off fluoxetine or other SSRI's (I've not been on fluoxetine but am on sertraline {another SSRI} and when I've tapered off not had any adverse effects) any side effects are usually short lived the bad effects usually occur only if you stop quickly. So if you are suffering bad dizzy spells 6 or more weeks after stopping fluoxetine you should see your doctor.

You must remember we are all different so effects on stopping a med vary enormously.

*** These are just my thoughts and experiences so you need to see your GP to get a definitive answer. ***