'sky-like' originates from English, specifically the combination of the noun 'sky' and the adjectival suffix '-like' (from Old English '-lic' meaning 'having the form of' / 'similar to').

'sky' itself comes from Old Norse 'ský' meaning 'cloud'; Old English used words like 'heofon' for the heavens. The productive suffix '-like' (from Old English '-lic') was used in Middle English and later to form adjectives meaning 'similar to', producing compounds such as 'sky-like' in Modern English.

Initially, 'ský' referred more to 'cloud' in Old Norse and '-lic' meant 'having the form of'; over time 'sky' came to mean the visible heavens and '-like' came to mean 'resembling', so 'sky-like' now means 'resembling the sky' (in color, appearance, or quality).