It appears to me that Fay is beginning to finally develop an inner core now that it's been out over the water, away from the mountains of eastern Cuba. The convection has almost completely covered the LLC after it appeared to detach itself from the convection earlier today. The southwestern side of the circulation is still lacking but convection has been steadily building around on the southeast to the northwest side (going counter clockwise). It also appears to me at least that the extraneous convection that had refused to consolidate has been shed as the new core is built in Fay.

http://www.ssd.noaa.gov/goes/flt/t1/loop-vis.html