The most common and most likely answer to this crossword clue is the 4 letter word AVID
I've seen this crossword clue in The Times
A
V
I
D
More clues leading to the result AVID
- Keen to have opera star sent up
- Keen, suggesting a tanner?
- Keen opera singer making return
- Keenly interested, prima donna? The reverse
- Enthusiastic, prima donna making a comeback
- Greedy artist has chop for starter
- Escape without love that’s keen
- . Backing singer’s enthusiastic
- Greedy duck taking egg
- Insatiable drama queen stood up
Buddy explains!

The straight part
We know that "Enthusiastic" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case enthusiastic = avid.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does AVID mean?
AVID adjective- Enthusiastic; keen; eager; showing great interest in something or desire to do something