I obtained this while grinding for the "Deal Effect damage" related achievement.
I used a burn deck, but this deck can pretty easily get a chain link of 5 or higher, netting the achievement.https://yugiohtopdecks.com/deck/7848
The above deck was what I took inspiration from, because all of those cards were getting expensive and mystic mine is cancer, (but it's what you use if you want to be competitive, I guess).
But anyway, here is mine.https://www.xbox.com/play/media/RHHGFFKR (For my deck, Back Jack and Slash Draw are at 3 because under uncommon but manipulateable circumstances, you can OTK and even FTK, granted your opponent doesn't hand trap you.)
As the requirements suggest however, you must wait for your opponent to activate an effect. Then, use traps that either burn your opponents LP, (2 birds one stone) or, just simply using any non targeting traps that take no specific requirements to activate. Simply making a deck with loads of these trap cards will (probably) work as well.
It is okay if they get negated, as long as they are activated and the chain gets to 5. Duplicate traps count as well.
If this achievement doesn't pop right away, don't worry. It isn't meant to pop until you have finished the duel WITHOUT surrendering.
Hope this guide helps create both a burn deck and an easy way to get a chain link 5 and higher. Could even be a breath of fresh air from playing yugioh normally, like it was for me.