The most common and most likely answer to this crossword clue is the 9 letter word RETRIEVAL
I've seen this crossword clue in Financial Times
R
E
T
R
I
E
V
A
L
Buddy explains!

The straight part
We know that "recovery" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case recovery = retrieval.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 RETRIEVAL mean?
RETRIEVAL noun- The act of retrieving or something retrieved
- The operation of accessing data, either from memory or from a storage device
- The cognitive process of bringing stored information into consciousness