Screenshot by Creamofgames
There's a puzzle in nearly every corner of Tsurumi Island, and that includes the locked precious chest south of the Chirai Shrine, east of the Moshiri Ceremonial Site. To unlock this chest, you must locate four Electro Seelies and return them to their nearby posts.
Start by heading to the area circled in the image below. There you will find a locked valuable chest sitting on a stone platform.
Screenshot by Creamofgames
Related: How to Unlock and Complete Daily Service Commission in Genshin Impact
First and Second Electro Seelies
Screenshot by Creamofgames
The first Electro Seelie is on a cliff west of the Precious Chest. Just approach him and lead him back to his post next to the chest.
The second Electro Seelie is locked behind a thunder barrier near the shore. You'll find a Thunder Sakura Bough nearby, which you can interact with to pick an Electrograna and enter the barrier to scatter it. You may need Geo Construct to reach the Seelie as it is quite high.
If you are unable to break through the barrier with an Electrograna, you may need to upgrade your Sacred Sakura in the Grand Narukami Shrine first to enhance its effects.
Third Seelie
Screenshot by Creamofgames
The third Electro Seelie is located on a landform in the water east of the Precious Chest. You may also need a Geo Construct or Wind Current to help you rise while bringing this Seelie back to his post, as he flies higher than the jump range of characters with an adult body type.
Fourth Seelie
Screenshot by Creamofgames
The fourth Electro Seelie is located south of the Precious Chest. You will find a Hilichurl digging on the ground. Defeat it and you'll find a Dig interaction, which will reveal an Electro Seelie that you can take back to its post.
After bringing all four Electro Seelies back to the Precious Chest, it will unlock and you can loot for free.
Check out our guide on how to solve the star-shaped gemstone puzzle on Tsurumi Island | Genshin Impact to unlock more mysterious island.