The most common and most likely answer to this crossword clue is the 4 letter word DEME
D
E
M
E
Buddy explains!
The straight part
We know that "Classical township" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case classical township = deme.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 DEME mean?
DEME noun- A township or other subdivision of ancient Attica.
- A distinct local population of plants or animals.