The most common and most likely answer to this crossword clue is the 3 letter word HUB
I've seen this crossword clue in The Daily Telegraph
H
U
B
More clues leading to the result HUB
Buddy explains!

The straight part
We know that "centre" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case centre = hub.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 HUB mean?
HUB noun- The central part, usually cylindrical, of a wheel; the nave.
- A point where many routes meet and traffic is distributed, dispensed or diverted.
- A central facility providing a range of related services, such as a medical hub or an educational hub
- A computer networking device connecting several Ethernet ports. See switch.
- A stake with a nail in it, used to mark a temporary point.
- A male weasel; a buck; a dog; a jack.
- The hilt of a weapon.
- A rough protuberance or projecting obstruction.
- An area in a video game from which most or all of the game's levels are accessed.
- A goal or mark at which quoits, etc., are thrown.
- A hardened, engraved steel punch for impressing a device upon a die, used in coining, etc.
- A screw hob.
- A block for scotching a wheel.