The most common and most likely answer to this crossword clue is the 8 letter word SIDESHOW
I've seen this crossword clue in The Daily Telegraph
S
I
D
E
S
H
O
W
More clues leading to the result SIDESHOW
- Doctor Who following teams — not the main event
- Team’s facing question about style – not the No.1 attraction
- Left? Start to see in what way it plays a subordinate role
- Unimportant affair at a fair
- Reconstructed Swedish boxing ring is minor attraction
- Team’s method for event, not the main one
- Teams who arranged stall at fairground
- Not the main attraction in area, plant storing hydrogen
- Diverting incident involving teams — in what way?
- Projection left out relatively unimportant part
Buddy explains!

The straight part
We know that "minor attraction" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case minor attraction = sideshow.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 SIDESHOW mean?
SIDESHOW noun- A minor attraction at a larger event such as a circus, fair, music festival or similar
- An incidental spectacle that diverts attention from a larger concern
- An incident in which drivers block traffic to perform donuts for an extended period of time