The most common and most likely answer to this crossword clue is the 6 letter word ARDENT
I've seen this crossword clue in The Daily Telegraph
A
R
D
E
N
T
More clues leading to the result ARDENT
- Eager to be hugged by wizard, enthralling
- Haggard entertainer, not entirely full of enthusiasm
- Passionate picture, perhaps, about pit
- Forest close to airport burning
- Fiery pit shown in painting
- Forest, last of it burning
- Burning paintings maybe outside private room
- Intense part of standard entertainment
- Passionate bard sent to unseat leaders
- Passionate in study, enthralled by technique
Buddy explains!
The straight part
We know that "Extremely keen" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case extremely keen = ardent.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 ARDENT mean?
ARDENT adjective- Full of ardor; fervent, passionate.
- Burning; glowing; shining.