The most common and most likely answer to this crossword clue is the 4 letter word STAN
I've seen this crossword clue in The Times
S
T
A
N
More clues leading to the result STAN
Buddy explains!
The straight part
We know that "Name of man/ending in some Asian countries" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case name of man/ending in some asian countries = stan.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 STAN mean?
STAN noun- (sometimes derogatory) An extremely obsessive fan of a person, group, character, or creative work, particularly one whose fixation is unhealthy or intrusive.
- To act as a stan (for); to be an obsessive fan (of).
- One of the stans; any of the ex-Soviet countries and their neighbours whose name ends with "-stan" such as Turkmenistan, Uzbekistan, and Kazakhstan.