The most common and most likely answer to this crossword clue is the 11 letter word HIPPOCRATES
I've seen this crossword clue in Financial Times
H
I
P
P
O
C
R
A
T
E
S
More clues leading to the result HIPPOCRATES
- Ancient doctor prophetic, as seen afresh
- Physician in box carried by massive animals
- Doctor prophetic — as his father?
- Medicine man in large consignment from Africa?
- Trendy Italian banker boxes celebrated doctor
- 14‘s heavy African freight?
- Beastly African cases for old doctor
- Greek doctor‘s African native cases
- Physician‘s fashionable bit of surgery restored chests
- African giant boxes old Greek
Buddy explains!
The straight part
We know that "Medicine man" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case medicine man = hippocrates.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.