The most common and most likely answer to this crossword clue is the 10 letter word INSTRUCTOR
I've seen this crossword clue in Financial Times
I
N
S
T
R
U
C
T
O
R
More clues leading to the result INSTRUCTOR
Buddy explains!

The straight part
We know that "Tutor" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case tutor = instructor.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 INSTRUCTOR mean?
INSTRUCTOR noun- One who instructs; a teacher.