This has been my worst and most long lasting symptom . . . the dizziness. In the beginning it was very much anxiety induced, but as the anxiety has lessened it has taken on a new way of appearing. When I am visually overloaded (turning head too quickly, busy stores, daughter's soccer game, certain tv shows, busy intersections) make me dizzy.
I have had hours of good times free of this symptom (yesterday it was pretty good all day, just a few mild episodes at the mall and while at an intersection), but it still persists. Others have said that this symptom hangs on for a while (8-10 months in varying degrees of strongness).
It really is a frightening symptom. I agree with having yourself checked out, but if that comes out that you are OK then I think you need to get some books on anxiety that will help you cope until the symptom disipates. Everyone says it does. I know for myself that while I do feel dizziness and foggy (at my worst have even had full-on vertigo) I have never actually passed out. I think our nervous systems are just freaked out and are overly sensitive. Short of driving, make yourself continue with what you are doing. Sit down or lean against a wall (that's what I do) and cope the best you can until the wave of dizziness relents (it always does). Sometimes I think of myself as a surfer riding out the wave of dizziness.
Try not despair. This is hallmark benzo withdrawl. It does go away in time and hopefully until it does you will get some windows of relief in between. Good luck!