The vast majority of Caribbean countries are on Atlantic Standard Time (AST), and the remainder are on Eastern Standard Time (EST). Those that are on EST are the more northern islands (Cuba, Jamaica, Haiti, Bahamas, Cayman Islands, and Turks & Caicos Islands). The only islands that observe daylight savings time are Cuba, Haiti, and Turks & Caicos.
With de confusion dat DST would bring, I eh tink it would be someting necessarily beneficial to T&T.