Etymology From Middle English dechen, from Old English dēċan (“to smear, plaster, daub”), from Proto-West Germanic *dōkijan (“to apply with a rag or cloth, smear”), from *dōk (“cloth, rag”), from Proto-Germanic *dōkaz (“rag”); see duck (“canvas, cloth”). Cognate with Dutch doeken, German tuchen. For the noun sense, compare gound.
1
To smear, daub, plaster, or impregnate, especially with dirt which becomes hard and ingrained.
The mud of Flanders clung to his boots and clothes. It was "deeched" into his skin, and round his eyes had left a stain so dark, it looked as if he had been painted for a theatrical make-up.1917, Robert Bontine Cunninghame Graham, Brought Forward, page 60:
deech
noun
Etymology From Middle English dechen, from Old English dēċan (“to smear, plaster, daub”), from Proto-West Germanic *dōkijan (“to apply with a rag or cloth, smear”), from *dōk (“cloth, rag”), from Proto-Germanic *dōkaz (“rag”); see duck (“canvas, cloth”). Cognate with Dutch doeken, German tuchen. For the noun sense, compare gound.
1
Northern England, UK, Dialectal, Usually Dirt (or grime) ingrained on the hands, or in cracks, crevices, etc.