The most common and most likely answer to this crossword clue is the 8 letter word OUTLYING
I've seen this crossword clue in The Daily Telegraph
O
U
T
L
Y
I
N
G
More clues leading to the result OUTLYING
Buddy explains!

The straight part
We know that "distant" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case distant = outlying.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 OUTLYING mean?
OUTLYING noun- A region relatively remote from a central location.
- Relatively remote from some central location.
- Located outside of some boundary or limit.