Douglas Harper's Etymology Dictionary
clino-
before vowels clin-, word-forming element meaning "slope, slant, incline," from Latinized comb. form of Greek klinein "to lean, slope" (see lean (v.)).
Wiktionary
clino-
pre. 1 A combining form meaning "slope" or "angle", used in the formation of compound words. 2 A combining form meaning "bed" or "recline".