The most common and most likely answer to this crossword clue is the 8 letter word SEMINARS
I've seen this crossword clue in The Daily Telegraph
S
E
M
I
N
A
R
S
More clues leading to the result SEMINARS
Buddy explains!

The straight part
We know that "Classes" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case classes = seminars.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 SEMINARS mean?
SEMINARS noun- A class held for advanced studies in which students meet regularly to discuss original research, under the guidance of a professor.
- A meeting held for the exchange of useful information by members of a common business community.