The most common and most likely answer to this crossword clue is the 6 letter word PARITY
I've seen this crossword clue in The Daily Telegraph
P
A
R
I
T
Y
More clues leading to the result PARITY
- Potentially even state celebration should involve one
- Rave, say, about island equalness?
- Equality one’s found in Conservatives or Labour, say
- Labour possibly recruits independent for consistency
- One person receives correspondence
- Tories say locking up Islamist leader means equality
- Individual opening individual correspondence
- Correspondence from one in association
- Egalitarian goal, one accepted by political group
- Labour, say, must accept independent equality of status
Buddy explains!

The straight part
We know that "equality of status" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case equality of status = parity.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 PARITY mean?
PARITY noun- Equality; comparability of strength or intensity.
- Senses related to classification into two sets.
- (games) In reversi, the last move within a given sector of the board.
- Resemblance; analogy.
- The number of delivered pregnancies reaching viable gestational age, usually between 20-28 weeks
- The number of times a sow has farrowed.