The most common and most likely answer to this crossword clue is the 8 letter word MASTERLY
I've seen this crossword clue in Financial Times
M
A
S
T
E
R
L
Y
More clues leading to the result MASTERLY
Buddy explains!

The straight part
We know that "Skilful/ike teacher" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case skilful/ike teacher = masterly.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 MASTERLY mean?
MASTERLY adjective- Executed in the manner of a master; showing competence and skill; masterful.
- (usually derogatory) Like a master; arbitrary; domineering, imperious.
- In a masterful manner; competently, masterfully.