|Northern Curly-tailed Lizard (Leiocephalus carinatus)
(aka Perrito de Costa in Cuba)
I think this is the Northern Curly-tailed Lizard. (please let me know if I have the id wrong).
It is distributed in the Bahamas and Cuba though there is an introduced population in southern Florida. It is found in open wooded areas and coastal habitats as well as gardens.
Males curl the tail, as shown in the photo, both to attract females and to confront other males.