The most common and most likely answer to this crossword clue is the 8 letter word OUTWARDS
I've seen this crossword clue in The Daily Telegraph
O
U
T
W
A
R
D
S
More clues leading to the result OUTWARDS
Buddy explains!

The straight part
We know that "away from the centre" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case away from the centre = outwards.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 OUTWARDS mean?
OUTWARDS adverb- From the interior toward the exterior; in an outward direction.
- Outwardly; (merely) on the surface.