The term 'very eager' can be described by the crossword solutions AVID (4 letters), AGOG (4 letters), RARING (6 letters), and HOTTOTROT (9 letters). AVID is an adjective meaning enthusiastic or passionate, while AGOG is an adverb meaning eagerly or excitedly. RARING is an adjective meaning full of enthusiasm or eagerness, and HOTTOTROT is an informal phrase meaning to be very eager or enthusiastic. All of these words and phrases describe a person who is very eager or enthusiastic about something.