The most common and most likely answer to this crossword clue is the 8 letter word THROWING
I've seen this crossword clue in The Guardian
T
H
R
O
W
I
N
G
Buddy explains!

The straight part
We know that "Having a fling/Having a fling/working at the wheel/working at the wheel" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case having a fling/having a fling/working at the wheel/working at the wheel = throwing.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 THROWING mean?
THROWING verb- To change place.
- To change in state or status
- To move through time.
- To be accepted.
- In any game, to decline to play in one's turn.
- To do or be better.
- To take heed.
- To hurl; to cause an object to move rapidly through the air.
- To eject or cause to fall off.
- To move to another position or condition; to displace.
- To make (a pot) by shaping clay as it turns on a wheel.
- (of a bowler) to deliver (the ball) illegally by straightening the bowling arm during delivery.
- To send (an error) to an exception-handling mechanism in order to interrupt normal processing.
- To intentionally lose a game.
- To confuse or mislead.
- To send desperately.
- To imprison.
- To organize an event, especially a party.
- To roll (a die or dice).
- To cause a certain number on the die or dice to be shown after rolling it.
- To discard.
- To lift the opponent off the ground and bring him back down, especially into a position behind the thrower.
- (said of one's voice) To change in order to give the illusion that the voice is that of someone else.
- To show sudden emotion, especially anger.
- To project or send forth.
- To put on hastily; to spread carelessly.
- To twist two or more filaments of (silk, etc.) so as to form one thread; to twist together, as singles, in a direction contrary to the twist of the singles themselves; sometimes applied to the whole class of operations by which silk is prepared for the weaver.
- (of a team, a manager, etc.) To select (a pitcher); to assign a pitcher to a given role (such as starter or reliever).
- To install (a bridge).
- To twist or turn.
- (said of animals) To give birth to.
- The act by which something is thrown.
- The process of making ceramic ware on the potter's wheel