The so-called clinic is just a clinic.
Why is it called Sky Clinic? It's just because the manager of this small clinic is named Amano Sky.
"The girl was wearing pajamas with a bear pattern on it, and was kicking on big bear slippers. She rubbed her eyes and looked helplessly at the person at the door, saying, 'This is so troublesome...'
The boy turned his back to the sun, covering his face, and you could vaguely see what he was saying as his mouth opened and closed. . . . . . "