A few people's lamps have disappeared and they've lost progress so I figured I'd write down what I know. *some numbers/timers may be wrong, feel free to correct me and I will edit. just going by memory cuz server is down atm.
So here's the basic steps.
Log in. Wait an hour, click the box. You receive an item that will turn into 3 lamps on timers when opened. If you leave these lamps unopened till you need them, they will have a longer timer unopened.
Go to the masked daru in austera or marianople or w/e. in Austera he's next to the gladiator arena guy. Accept quest from daru. You will immediately turn in quest to daru again and select a reward, the 'reward' is one of 3 clicky box quests that you will receive in your inventory.. Each quest will have the same reward which is a 50/50 chance at a divine dungeon wep or a celestial sleeves from honor workbench.
the speedy quest is completed by doing halcy or mistmerrow. (the 10 kill quest is what completes it in halcy, not sure about mm)
the greedy quest requires you to kill 5 greater dungeon bosses. for example, running through gha will get you 5 boss kills.
the madly maxed quest requires you to kill 8(?) serpentisss bossses.
Make sure to click the quest item [!] in your inventory to activate teh quest!!! you don't wanna go run gha only to realize you forgot to right click the item in your inventory and have to run gha again! Don't ask me how I know this.
The moment you kill the 5th boss for the greedy quest you will receive an item in your inventory that can be 'fed' to the corresponding lamp. These items can be saved up in your inventory to place and feed the lamp all at once(I heard they stack). The madly maxed and speedy lamps will have a 4(?)day timer once placed, the greedy lamp has a 7hr11min timer not once placed, but once it gets it's second feeding(2/10). So this is why it might be a good idea to wait to place your (greedy) lamp until you have 10 saved up to feed it all at once. Otherwise you will basically have to grind all the dungeon bosses(50) in one go so that greedy lamp doesn't disappear. I think the greedy lamp has a 4day timer like the others when placed...but cuts down to 7hr11min once it gets that 2nd feeding.
once the lamp is fed you can go back to the masked daru and re-take the quest again, choosing one of the 3 quests. There IS a 5 minute debuff you have to wait out before getting the quest again. You get this debuff upon killing that 5th boss(if yer doin the greedy). Also if you get the wrong quest or change your mind on what lamp to feed, you can just drag n drop to destroy the [!] questbox in your inventory, and the daru will let you re-pick the quest again. (simply abandoning the quest won't let you get a new one from the daru cuz you still have the cliky box in yer inventory)
So yeh...super cool event(thanks devs!)...lots of value, but kinda confusing. I hope this post helps ppl because I had a hell of a time piecing all the info together from forums and guildmates and just doing the quest and making mistakes.
*also those divine dungeons weps can be made into the aria's autograph on a dungeon workbench thing and made into a mistsong weapon that can be leveled up to (I think) ayanad level strength eventually. So yeh, 'free' divines that can be upgraded to that level via running mistsong/jars....very good value from this event. look into it.
**also also, dungeon timer reset is only like an hour or so from last entry, once 5 are completed or created...it's the grinding scrolls that reset every 24hr or w/e. so you can run like 5 gha/5gbc/5gha etc...