The most common and most likely answer to this crossword clue is the 9 letter word VELODROME
I've seen this crossword clue in The Daily Telegraph
V
E
L
O
D
R
O
M
E
More clues leading to the result VELODROME
- Loved to play by city racetrack
- Bizarrely loved European city stadium
- Loved racing on capital racetrack
- Getting excited over model place for cycling
- Loved changes with capital for sports venue
- Loved to be involved with city sports venue
- Very small handout about to be given to city for sports facility
- Dicky loved Italian city's cycling stadium
Buddy explains!

The straight part
We know that "sports venue" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case sports venue = velodrome.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 VELODROME mean?
VELODROME noun- An indoor arena, having an oval banked track for bicycle racing.