Isn't this system more like dual classing. Maybe I'm just old school AD@D gamer but multiclassing involves multiple starting classes from the begining of your choice depending on race. Dual class you pick another class after your principle choosen path? Or are these the new 5th edition changes? I was looking to make my wizzard / cleric but couldn't find my option in game.
"Dual-classing" vs. "multiclassing" hasn't really been a thing since 2nd Edition. From 3rd on up, you just take class levels as you gain character levels, and at each level-up you choose which class to level.
3rd/3.5e/Pathfinder have a much more robust build-customization system that leans into multiclassing and Prestige Classes, though. In 5e, you're more heavily encouraged to focus on a class for multiple levels to gain subclass options, ability score improvements, and the occasional odd feat.