The most common and most likely answer to this crossword clue is the 9 letter word GARNISHED
I've seen this crossword clue in The Sunday Telegraph
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More clues leading to the result GARNISHED
Buddy explains!

The straight part
We know that "added embellishment" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case added embellishment = garnished.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.
Crossword Answer definitions
GARNISHED verb- To decorate with ornaments; to adorn; to embellish.
- To ornament with something placed around it.
- To furnish; to supply.
- To fit with fetters; to fetter.
- To warn by garnishment; to give notice to.
- To have (money) set aside by court order (particularly for the payment of alleged debts); to garnishee.