My experience of "Plane Spotting Guides" is as of April 2011 :
Location : It’s one of the best airports you’ll ever in Florida. You can go to the top floor of the short term parking garage, by foot if you're passanger or by car. On top level, you have a great views of RWY36/18 left and right, the view of apron & terminals with gate are great too.
Security : Any problem, if the rules are respected
Authrization : Plane Spotting activities are welcome at Tampa International Airport. To obtain authorization please e-mail KFigley@TampaAirport.com
Below the view of top floor of the short term parking garage
You can get an idea of the views if you see below at my planespotting gallery > Press here > http://jalbum.net/a/1744519
HD view : http://jalbum.net/a/1744519
NB : If you have some informations, feedback or any update about this Don't hesite to write ......