From door +‎ cheek.

doorcheek (plural doorcheeks)

1. The jamb of a door.
   • 1609, The Holie Bible,[…] (Douay–Rheims Bible), Doway: Laurence Kellam,[…], →OCLC, Exodus 12:22, page 186:

     And dippe a bunch of hyſſope in the blould that is at the doore, and ſprinkle the vppertranſome of the doore therwith, and both the doore cheekes: let none of you goe out of the doore of his houſe til morning.

   • 2015, Meyer Levin, Frankie & Johnnie:

     The doorcheck on that doorway was loose and the door always banged behind him making him startle

• “doorcheek”, in Webster’s Revised Unabridged Dictionary, Springfield, Mass.: G. & C. Merriam, 1913, →OCLC.