You don't have a fear for the IV, what you actually fear is the pain associated with it. My best guess is you've never had an IV put on...I've had them put on and they are nasty, they are quite thick actually....you feel a strong pinch then pressure but after a while you don't feel it.
The nurse takes your arm, rubs some alcohol to kill the bacteria on contact. The IV has a needle its a bit thicker than a regular injection needle...so like I said, you feel a strong pinch and then pressure....however once the needle is in, the needle is removed and a small plastic portion of it remains inside your vein....that is were people go 'oooowwwwwwwww' lol you don't feel it after a while but knowing that little tiny plastic tube is in there can be very discomforting to anyone. I hate IVs to be honest with you, they hurt like crap....to minimize the pain some nurses put them on your hands were the pain is less pronounced but if its on your arm or elbow oh man, I'll pray for you.....you can actually request were you want the IV put on.
Close, but nope. I'm not trying to be rude with any of this explanation by the way, just talking. It is an actual fear of the IV needle itself. I have trypanophobia, plus I'm allergic to some types of metal. And I actually have had an IV used in my hand before, and also 3 months of side effects from it too. lol. And yes, I could feel the IV the entire time it was in my hand. Even just thinking of that feeling makes me nervous enough to want to vomit.
When I was born, my blood was missing the chemicals that make people immune to the sun and stuff like heat lamps and so on. I'm not albino or anything, but I do get sick form those things after 30 minutes to an hour, and the side effects are different depending on how longs it's been. I had to mention that to get the background for this part to make more sense. When I had the IV in, the anestesia (sp?) wouldn't filter out of my blood correctly until waaaay later than it was supposed to. This lead to me still having some effects from it even a day or two after the event with the IV happened. And no, I wasn't on any kind of medication, or influence of anything else (drugs, alcohol, and so on).
So yes, the IV itself doesn't hurt much, but I do have an extreme fear of even the piercing feeling that it gives, temporary or not. Even if I just get a shot, I can feel that piercing feeling for a long time after it's over. Not like an hour after, but the feeling stays longer than I think it should. lol