The most common and most likely answer to this crossword clue is the 3 letter word ETA
I've seen this crossword clue in The Daily Telegraph
E
T
A
More clues leading to the result ETA
- Continental character, and when he might turn up?
- Character that merits a place on railway board?
- When one's expected letter from abroad
- Letter from abroad and when it might reach us?
- Greek character having high tea
- Cheese knocking out female Greek character
- Took a meal back for Greek character
- Something like 10 occupying same tavern
- Foreign character central to The Tale
- Worried about letter from abroad
Buddy explains!

The straight part
We know that "Greek character" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case greek character = eta.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 ETA mean?
ETA noun- The seventh letter of the Modern Greek alphabet, the eighth in Old Greek.
- A kind of electrically neutral meson having zero spin and isospin.
- A social outcast in Japan who is subjected to menial work, making up a class or caste of such people.