The most common and most likely answer to this crossword clue is the 5 letter word PAEAN
I've seen this crossword clue in The Times
P
A
E
A
N
More clues leading to the result PAEAN
- Praise writer about two separate articles
- Good of heathen to go for English hymn
- Review harshly constrains each piece expressing praise
- Heathen god receiving each hymn of praise
- Praise heathen having a change of heart
- Piano introduces a conclusion to service, a new hymn
- Each god receives enthusiastic praise
- Slate bearing each hymn
- Review harshly constrains each expression of praise
- Criticise after inclusion of each hymn
Buddy explains!

The straight part
We know that "piece expressing praise" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case piece expressing praise = paean.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 PAEAN mean?
PAEAN noun- A chant or song, especially a hymn of thanksgiving for deliverance or victory, to Apollo or sometimes another god or goddess; hence any song sung to solicit victory in battle.
- (by extension) Any loud and joyous song; a song of triumph.
- (by extension) An enthusiastic expression of praise.
- To sing a paean; to praise.