The most common and most likely answer to this crossword clue is the 11 letter word HOLEÂ INÂ ONE
I've seen this crossword clue in The Guardian
H
O
L
E
Â
I
N
Â
O
N
E
Buddy explains!
The straight part
We know that "The rarest eagle? Of course it is" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case the rarest eagle? of course it is = hole in one.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.