Vermont honors FL permits. The reverse is not true. Here's the quote from the
Div. of Licensing website:
The State of VERMONT is unique in that it does not issue weapon/firearms licenses. Florida licensees - indeed, licensed or unlicensed citizens from any state - may carry in Vermont. This presents a problem for reciprocity with Florida. Florida law provides that an out-of-state resident must have in his or her immediate possession a valid license to carry a concealed weapon or firearm. Since Vermont residents have no such license, the right to concealed carry cannot be extended to them under Florida law.