It's hardly a coincidence that the word "muse" is in "museum!" Cheonggyecheon Museum aims to inspire and entertain its visitors, so squeeze it into your itinerary.
This museum is situated in Seongdong-gu, a destination that has plenty of things going for it! Gyeongbokgung Palace, Dongdaemun History and Culture Park, and National Museum of Korea are other good sightseeing opportunities close by when you're all done at Cheonggyecheon Museum.