The most common and most likely answer to this crossword clue is the 10 letter word HEALTHCARE
I've seen this crossword clue in The Sunday Telegraph
H
E
A
L
T
H
C
A
R
E
More clues leading to the result HEALTHCARE
Buddy explains!

The straight part
We know that "medical concern" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case medical concern = healthcare.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 HEALTHCARE mean?
HEALTHCARE noun- The prevention, treatment, and management of illness or the preservation of mental and physical well-being through the services offered by the medical, nursing, and allied health professions.