The most common and most likely answer to this crossword clue is the 4 plus 4 letter word FREE DROP
I've seen this crossword clue in The Times
F
R
E
E
D
R
O
P
Buddy explains!
The straight part
We know that "concession made on course" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case concession made on course = free drop.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.