If the polishing job was effective, the shine will hold up well over time. If it wasn't terribly effective, the shine you are seeing is probably more the waxes, oils, and/or fillers that are in the rubbing compound. This is what I'm experiencing with the Team Seacats N20 and why the shine isn't holding up (since I stopped at 600 grit before buffing)

I've had really good results with NuFinish liquid wax - or any of the modern waxes that have UV inhibitors in them. My F18 gets at least two coats a year and it is holding up very well.