heavy-lidded

adjective2

1. •
   Having almost closed eyes.

   • The wide mouth was folded tight together, the heavy-lidded eyes were firmly shut as though she defied the world to disturb her rest. — 2007
2. •
   Having overhanging eaves that cast shadows upon its (perhaps recessed or small) windows?

   • […] are many of them, it looks less Norwegian or Arts and Crafts-y than ancient and Japanese, the sort of heavy-lidded building that Akira Kurosawa would have cast in one of his sweeping epics […] — 2006