childlike vs round-eyed

childlike and round-eyed both are adjectives.

Word	Noun	Adjective	Verb	Adverb
childlike	No	Yes	No	No
round-eyed	No	Yes	No	No

As adjectives, childlike and round-eyed are synonyms defined as:

Other synonyms of childlike include dewy-eyed, simple, wide-eyed.

childlike (adjective)	round-eyed (adjective)
exhibiting childlike simplicity and credulity	having large round wide-open eyes
befitting a young child	exhibiting childlike simplicity and credulity