The most common and most likely answer to this crossword clue is the 6 letter word EULOGY
I've seen this crossword clue in The Daily Telegraph
E
U
L
O
G
Y
More clues leading to the result EULOGY
- Speech extolling a group we’ve left?
- Record kept in Brussels may finally produce encomium
- Praise for reforming ugly, heartless ogre
- Around close of funeral eg you possibly get this?
- Tribute to you, it’s said, over record year
- Parting words
- It may be said to be highly complimentary
- Tribute union of nations added to record, ultimate in bravery
- Praise gained from trade association journal upon end of display
- Praise European Union's record with extreme sincerity
Buddy explains!

The straight part
We know that "It may be said to be highly complimentary" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case it may be said to be highly complimentary = eulogy.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 EULOGY mean?
EULOGY noun- An oration to honor a deceased person, usually at a funeral.
- Speaking highly of someone or something; the act of praising or commending someone or something.