eager beaver vs busy bee

eager beaver and busy bee both are nouns.

Word	Noun	Adjective	Verb	Adverb
eager beaver	Yes	No	No	No
busy bee	Yes	No	No	No

As nouns, eager beaver and busy bee are synonyms defined as:

Other synonyms of eager beaver include live wire, sharpie, sharpy.

eager beaver (noun)	busy bee (noun)
an alert and energetic person	an alert and energetic person