live wire vs eager beaver

live wire and eager beaver both are nouns.

Word	Noun	Adjective	Verb	Adverb
live wire	Yes	No	No	No
eager beaver	Yes	No	No	No

As nouns, live wire and eager beaver are synonyms defined as:

Other synonyms of live wire include busy bee, sharpie, sharpy.

live wire (noun)	eager beaver (noun)
an alert and energetic person	an alert and energetic person