The most common and most likely answer to this crossword clue is the 5 letter word TAMIL
I've seen this crossword clue in The Guardian
T
A
M
I
L
More clues leading to the result TAMIL
- Asian dog covering miles
- Asian team finally breaks through the last batsmen
- Time to meet French friend, someone learning language
- National Trust's originator raised capital abroad
- Master bitten by dog — what language!
- Asian dog covers miles
- Asian dog eats lambs’ heart
- Tongue as starter for meal in train
- Fired back, hemming in American Indian
- Follow around maiden from the subcontinent?
Buddy explains!

The straight part
We know that "Asian" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case asian = tamil.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.