If your incoming flight is on time, that's very tight but doable as long as you don't have to change airlines or anything. If you're flying in on American and coming on a regional jet, you'll be in C Concourse in an odd-numbered gate. If the flight to Tampa is on an MD-80 or other full-size plane, you'll be in the C Concourse on the even side. Worst case scenario in that situation is about a 10-15 minute run/walk between gates. If you're stuck on a turbo prop from OK, you might have a problem as those come in to the B Concourse and will have to make a run from there to the C Concourse. You won't have to clear security in either scenario. If you have more details I can be more specific.