The most common and most likely answer to this crossword clue is the 6 letter word TRUISM
I've seen this crossword clue in The Guardian
T
R
U
I
S
M
More clues leading to the result TRUISM
- Saw middle of fire must spread
- What’s obviously right is repressed by president endlessly
- Tin-opener is cutting into the drink, in fact
- Bromide, after initially tasting, is swallowed in liquor
- Gore’s abandoning philanthropic approach, that’s obvious
- Pedant’s conclusion is seen in odd statement of the obvious
- Total mistrust way off commonplace
- Commonplace sport is covered by trademark
- It's rum making a statement of fact
- Tenor is enthralled by strange platitude
Buddy explains!

The straight part
We know that "What’s obviously right" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case what’s obviously right = truism.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 TRUISM mean?
TRUISM noun- A self-evident or obvious truth.
- A banality or cliché.