How about Seoul Seocho Bioface Dermatology? I tried it out myself after a friend recommended it to me.

During this trip to Seoul, a friend kept recommending the Bioface Dermatology clinic in the Seocho area, saying that it was a popular choice among locals, had few tourists, and offered reasonable prices. Since I had recently been thinking about trying Korean skin care services, I made an appointment to visit the clinic one afternoon.