There are all manner of palm trees growing in Florida.....reminded me of when I lived in California! Anyway, while we were on vacation in the Keys, I noticed these growths on random palm trees here and there. I can't for the life of me figure out what they are? They look nothing like the palm fronds on the rest of the tree!
I think Toni has hit it on the head. It looks like the tree is going to be producing dates in the not too distant future.