The most common and most likely answer to this crossword clue is the 7 letter word DISOWNS
I've seen this crossword clue in The Daily Telegraph
D
I
S
O
W
N
S
More clues leading to the result DISOWNS
- Happens to break down before antivirus finally turns back on
- Denies one’s corking drinks
- Has nothing to do with dreadful noises surrounding broadcast
- Insult grasping private refuses to acknowledge
- Won’t have it and clamours to get animal protected
- The infernal world has possession of rejects
- Denies broadcast is at the centre of rows
- Is in final 16 here but gives up
- Denies one's spiking drinks
Buddy explains!

The straight part
We know that "rejects" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case rejects = disowns.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 DISOWNS mean?
DISOWNS verb- To refuse to own, or to refuse to acknowledge one’s own.
- To repudiate any connection to; to renounce.
- To detach (a job or process) so that it can continue to run even when the user who launched it ends his/her login session.