Make sure Afterburner is up to date (version 4.2.0).
Launch Afterburner. Do icons for Afterburner and RivaTuner appear in the system tray (lower-right corner, near the clock)? You should just be able to click the RivaTuner icon (blue monitor with a purple 60) and it should appear.
Set the Global framerate limit to 60 and enjoy. Alternatively, create a separate profile for each game and add the framerate limit manually - but that takes too long imo and it's easier to blacklist games that misbehave.
I seem to be having version 4.1.1, and under Settings > General > Update checking properties, it says there's no new update for me to install. Should I just leave it at that or re-download it manually from their website?
Also, no, the RivaTurner icons don't appear in the system tray. I don't recall them ever being there. By the way, once a while, bi-weekly or something, I get an error that RivaTuner can't "connect to servers" or something along those lines. But I can't open it, re-install it or uninstall it.
More specifically, RTSS says "Cannot retrieve update information from the update server!"