The most common and most likely answer to this crossword clue is the 3 plus 7 letter word FLY FISHING
I've seen this crossword clue in The Guardian
F
L
Y
F
I
S
H
I
N
G
Buddy explains!
The straight part
We know that "sport" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case sport = fly fishing.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 FLY FISHING mean?
FLY FISHING noun- A form of angling whereby the weight of the line is used to cast the lure, i.e. the fly