Digicel bought Claro, so Claro is no more. I use the Digicel 3G (old Claro system) although they call it a 4G - it is not really a 4G signal. I am not sure that they are selling that service yet - they seem to provide it only for the existing Claro customers.
Digicel sells a MiFi hotspot modem thingy - conditions apply and it it limited to 5 users and it would cost you about ja$10,000 for the modem. Here is a link to the Digicel Broadband service:
http://www.digicel4gbroadband.com/