According to Florida Statute 790.06 ( License to carry concealed weapon or firearm ).
If you are discovered by a LEO of having a Concelead Firearm, and you do not have you Florida Concealed Weapon License on you, be prepared to be searched and/or cuffed and treated as a violator until the License can be confirmed.
Is this conduct correct on the LEO's part? He has no idea whether you are a law abiding citizen who has forgotten her license, or a felon who is about to commit a crime.
Best advise ... Be sure to carry it on you at all times.