If a person have an arrest warrant out for them in the usa and that person go to a caribbean country get a visa from that caribben country for the uk will he be denied access to the uk. Thanks in advance with any help Ica get.

Yes, he still has a warrant no matter where he is leaving from.

I doubt they get to the caribben anyway

No way... remember Martha Stewart was send back as soon as she arrived at Heathrow Airport?

Are you saying that he can't travel to any other country because he have that warrant out.