I like to pass this on. Because for a long time I was having problem filling up my tank. The car will only take $1 dollar of gas at a time and the pump will click and spill/vomit gas if you get OBDII code PO441 THRU PO446 small and large evap leak. Most likely you are havin the same problem. This what causes it there is a small electrical valve by the fuel filter. This Valve(PCV:purge control valve) is basically a small solenoid that opens and closes when the computer tells it there is too much pressure in the tank and evaporation canister. If this malfunctions and it looks itself closed it will not allow the gases and air to flow thru your tank and it will raise the floater in your tank causing the the gas station fuel gun to stop or click. This is not your pcv valve that you find attach to your intake manifold that valve is a Positive Crankcase Ventilation valve see the difference same initial different meaning. So now that you know what pcv im referring to If this solenoid stays open at all times it will do the oposite and give you rough iddle problems. There is also a problem with the hoses that attach to the evap. canister in by the back of the driver side tire. There is a TSB on this. These hoses tent to break up inside causing pieces of it to be send into the valve and causing the valve to malfunction.
The worst part about this is that Hyundai instead of doing a recall asked its manufacturer for the PCV to put a small screen filter in front of it. So if this happends you remove the hoses from the PCV valve and clean it out. But of course they wont tell you this. How do I know this? Because when i bouth a new original valve it had the removable meshed filter in front of them

I will give you several options

THE RIGHT COMPLETE WAY
you will need a new pcv valve that you can get from ebay here http://shop.ebay.com/items/?_nkw=hyundai+tiburon+purge+control+valve&_sacat=0 &_trksid=p3286.m270.l1313&_odkw=hyundai+tiburon+pc v&_osacat=0 or from the dealer the part number is 2891022040
3 feet of 1/2 fuel line hose
3 feet of 1/4 fuel line hose
you can re-use your clamps or buy new clamps for those hoses
First -locate your PCV valve Purge control valve in your hood attached to the line that goes to the fuel filter it is a small plastic conical shape piece with a hose coming out of each end take a mental note or picture and notice how is it position as you want to keep it the same way. with a pair of pliers slide down the clamps and disconect the hoses. Pull out the metal clip and remove the electrical conector

Second- Jack your back driver side tire or put car on a lift try to find some way to to

 

I'm closing this, as it's posted in the DIY section. We only need it posted once. Interesting topic though, never heard of any Tibs having this problem. May prove useful to someone.

http://www.rdtiburon.com/index.php?showtopic=31507