He does indeed!

"Hmm, now let's see what the note says..." Ochaco mused as she opened the note. ""...what is something that belongs to you, but is used by others more than you?"" she read out.

"...hmm, that's an interesting riddle, and what kind of clue is it?" Izuku noted.

"The answer is your name," Setsuna considered. "So, the next clue probably has something to do with names then?"

"Most likely, maybe there is someone's name around here that we can look at?" Momo mused. They checked the other DVDs in the cupboard, but found nothing. Even opening the cases that had a character's name as the title turned up nothing. Undeterred, Izuku went to a bookshelf, and looked over the titles, before finding a small book in the shelf that had the title, "Unique names, and what they mean."

"Found something!" he cheered when he opened it up to find the book had been hollowed out to reveal a key.

"That can't be the key to the door so soon," Momo mused, approaching and picking up the key.

"So it probably unlocks something that leads to the next clue," Izuku reasoned.

"A good thought," Setsuna grinned as she worked her pants off, revealing her panties matched her bra.

"Still, no harm in trying the door at least, just in case. Though if it was that easy, I'll have some complaints for the front desk," Momo said, taking the key, and trying the door. As expected, it didn't fit. "We're good!"

They poked around some more, before Izuku found a safe in a hidden spot behind a drawer. "I found something else!" he announced. Setsuna detached an arm, and swiped the key from Momo, and delivered it to Izuku. "Now that's express delivery!" he quipped, taking the key from Setsuna, and fitting it into the lock. When he opened it, it was empty, much to his surprise. "That's odd," he said, looking carefully.

"What is?" Setsuna asked, approaching as he reattached her arm, and moved her hands behind her back, as if prepared to unclip her bra, but was waiting to see if what Izuku found was useful.

"The safe is empty... which could in itself be a clue I suppose, but I don't see how as of... wait," he noted, running a hand along the inside, and felt something on his hand. Upon withdrawing it, it was blackened. "...soot?"

"Oh, the fireplace!" Setsuna grinned, going through with unclipping her bra, and dropping it. "Nice find!" Izuku blushed, staring at her now exposed boobs as she grinned at him.

Ochaco wasted no time in going to the fireplace, and looking at some placed logs inside. "Oh, there's something carved into the side of this one!" she noted, and read it out. ""Check an appliance found in many homes, used during a time this location is neglected.""

"...an appliance that's used when the fireplace is not in regular use, huh?" Izuku mused.

"Oh, let's try the ceiling fan!" Momo pointed. "The fireplace is used in colder months, but a fan is used in warmer ones!"

"Good thinking!" Setsuna nodded, once again detaching her head to float up, Ochaco using her own Quirk to meet her up there. Taped to the upper side of a fan blade was a paint brush. "There's a paint brush up here!" Setsuna called.

"Must be something about that painting," Izuku noted, going over to one hanging on the wall, and removing it. This time, there was another safe in an alcove behind it, this one a combination safe. "That's a little cliche," Izuku noted with a chuckle. Setsuna agreed with a giggle of her own. On top of the safe was a folded slip of paper, which Izuku grabbed. This time, he read it out himself. ""First, count the wood of the penultimate clue. Second, count another word for a sharp weapon of the last. Third is first.""

"Hmm, that's an interesting riddle," Setsuna paused.

"I think the first number is the number of logs in the fireplace, penultimate means second to last, and the fireplace was where we found the clue before the most recent one, the second is... one word for a sharp weapon is blade, which must be the blades of the ceiling fan, which is five. And third... must be twelve, the solution for the equation in the first clue," Izuku puzzled out.

Ochaco wasted no time counting the logs in the fireplace. "Eight!" she called. Izuku nodded, turning the combination to eight, then five, and upon turining it to twelve, there was a satisfying click. He opened it up, and proceeded to extract a key.

"Nice work~!" Setsuna grinned, hooking her thumbs in the waistband of her panties. "You win the prize!"