The most common and most likely answer to this crossword clue is the 10 letter word OVEREXPOSE
I've seen this crossword clue in Independent
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More clues leading to the result OVEREXPOSE
Buddy explains!

The straight part
We know that "exhibition centred in love poetry (10)" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case exhibition centred in love poetry (10) = overexpose.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 OVEREXPOSE mean?
OVEREXPOSE verb- To expose excessively.
- To provide excessive publicity or reporting regarding (a person, event, etc.).
- To expose (film) to light during the development process for a longer time than is required to accurately produce the image.