Eco-Innovations (see update at bottom of post) installed 13 panels in December. They wired us up in early January. In early February, DPNR came out to do their inspection. DPNR finally signed off on our system in early May. Paperwork immediately handed to WAPA. WAPA engineers finally came out to inspect this week. Yesterday they changed out my meter so I can send the energy I produce back into the grid. After nearly eight months I finally flipped on my panels for the first time this morning.
You can see my system here: https://enlighten.enphaseenergy.com/public/systems/Ab6g68379
Solar Panels installed 12/15/2011
I found this net metering flow chart on the WAPA website. It gives you an idea of the complexity of the permitting process.
Update 2014:
When choosing a solar provider here in the USVI do keep in mind that the company mentioned above disappears after the install and is unreachable should you have any issues.