watchfulness vs weather eye

watchfulness and weather eye both are nouns.

Word	Noun	Adjective	Verb	Adverb
watchfulness	Yes	No	No	No
weather eye	Yes	No	No	No

As nouns, watchfulness and weather eye are synonyms defined as:

Other synonyms of watchfulness include vigilance.

watchfulness (noun)	weather eye (noun)
vigilant attentiveness	vigilant attentiveness
the process of paying close and continuous attention