The term 'quite eager' can be described by four crossword solutions: ENTHUSED (8 letters), AVID (4 letters), AGOG (4 letters), and ATHIRST (7 letters). Enthusiastic means to be filled with excitement and eagerness, while AVID implies having a great enthusiasm and desire for something. AGOG is an adjective used to describe someone who is highly excited and eager, and ATHIRST is an old-fashioned word meaning to be very eager or thirsty for something. All of these words together paint a picture of someone who is very enthusiastic and eager about something.