The most common and most likely answer to this crossword clue is the 8 letter word PRECIOUS
P
R
E
C
I
O
U
S
More clues leading to the result PRECIOUS
- Cherished peregrination in P&O cruise
- Curried rice soup is greatly appreciated
- Valuable source I abandoned under pressure
- Valuable piece that sums up Oxford University dons
- Rice soup not normally costly
- Cherished religious gathering on 4th of March
- Valued cut-price house contents
- Exquisite soup mixed with rice
- Valuable record in good cover
- Beloved is faithful without urgency occasionally
Buddy explains!

The straight part
We know that "greatly appreciated" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case greatly appreciated = precious.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 PRECIOUS mean?
PRECIOUS noun- Someone (or something) who is loved; a darling.
- Of high value or worth.
- Regarded with love or tenderness.
- Treated with too much reverence.
- Contrived to be cute or charming.
- Very; an intensifier.