This post was solved by @lemonmelon, the song is “Paul Revere” (1986) by the Beastie Boys.
Don’t forget the clues, friends! The first clue I provided was that this song wasn’t released in the 90s and then got several guesses afterward that were all songs from the 90s. I’ve only got a few more posts left before I take my leave, it’s been fun but I’m usually not on often enough to keep up, so make sure to peep those clues on my final posts!
Removed by mod
Unfortunately not the right song, but, while the horse here is not the famous Western star Trigger, the horse’s name is important to the song! Another clue: the song is in the Hip-Hop genre.