The most common and most likely answer to this crossword clue is the 7 letter word GRANTER
I've seen this crossword clue in The Times
G
R
A
N
T
E
R
More clues leading to the result GRANTER
Buddy explains!

The straight part
We know that "one making concessions?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one making concessions? = granter.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.