The most common and most likely answer to this crossword clue is the 9 letter word WATER-SKI
I've seen this crossword clue in Financial Times
W
A
T
E
R
-
S
K
I
Buddy explains!

The straight part
We know that "Participate in sport" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case participate in sport = water-ski.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.