Yeeep, this is how it's done.
As a MNK, you basically hit the boss twice with combo moves, then leave. HAS to be combo moves, ToD WILL drop your stacks.
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For your Answer, yes and I plays Monk for my static. Here is what I do:
1/Don't run out straight away when you see the Earth shaker Icon, cause you can still deal 2 more skills before it goes off for real. So make sure you refresh your GS before you run out and of course before the Earth Shaker goes off. Or at the very least, hold the end combo skill for when you get back.
2/ Run to your side and drop the first Earth Shaker next to the boss, proceed to dodge the remaining two like normal (it takes time to get used to the timing and not get hit by the doT). AS SOON AS you see the third goes off, use Shoulder Tackle straight away to get back to the boss and repeat the rotation or finishing your combo (you still have 2 sec or so before GS drop if you happens to not be able to refresh the GS before dodging).
It is doable, just takes time to get used to the timing. I am playing with 300 pings,so if I can do it, it should not be the problem to those with lower ping.