I'd hesitate to necessarily call what happened on Honky Tonk "Varispeed" in the intentional sense -- it's possible they sped it up intentionally to make it sound more impressive, but it's also plausible that it just accidentally got recorded slow or mastered fast or somesuch--I'm not sure!
You can't really adjust YouTube videos that finely, but if you have a downloaded copy of the song you can import it into any number of audio applications -- I use Logic's varispeed function or you can use Anytune which I think is free, although that doesn't have a varispeed function so you'd have to do some math to match the speed to the pitch reduction.
But in any case, it's approximately a 2% speed up to raise the pitch 20 cents. My tempo analyzer puts the average BPM of the song at 125, so the original would be 98% of that, 122.5 bpm. And it's just in the key of E.
Or tune your guitar up 20 cents.