The latest I've read are more students are accepted to UF Law while being rejected from FSU Law.
Has FSU Law has become the most selective law school in Florida?.
The best I can see so far is FSU having a slight advantage in LSAT average - about 1 point currently (159 (UF) vs 160 (FSU)).
I'm not terribly surprised if this turns out to be true. Tallahassee is an excellent place to have a law school. While UF's law school is older, it seems it is being overtaken by the better placed FSU law school.