eager beaver vs live wire

eager beaver and live wire both are nouns.

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

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

Other synonyms of eager beaver include busy bee, sharpie, sharpy.

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