It is, but I believe it will remain center-right. It has never been left-leaning in modern history. If republicans get the white vote out of Florida that they got in 2012 and the Hispanic vote they got in 2004 (or even 2008) they have the state easily. 2012 was somewhat of a weird election in a way due to very poor GOP Hispanic vote. If Florida does become an issue though, then the GOP is suffering serious illnesses, similar to democrat illnesses in the 80's.
Florida has a large Hispanic population, but the GOP was able to be very competitive with the Hispanic vote in the state because of the Cuban vote. In recent years the non-Cuban Hispanic population in FL is growing faster than the Cuban-Hispanic population. That is a problem for the GOP. To top it off, they lost massive ground with Cubans in 2012. It is too early to tell if it is a one time trend granted, however they continue to do the very same things they did in the last few years that pissed off Hispanics and are showing no signs of changing. If they can't get the Cuban vote back, they are done.