The phrase "possibly significant" is correct and usable in written English.
You can use it when you are unsure of the importance or relevance of something or when you are considering the potential significance of something. For example: "This discovery could be possibly significant in our understanding of the human brain."
So, these correlations are at most only possibly significant, and a larger study would be needed to assess this possible weak correlation.
A changing interest rate is another, possibly significant, downside.
The recent rapprochement with Poland over Soviet-era crimes was a smart and possibly significant step.
The play was better received by the critics, who dubbed it "possibly significant" (the Times) and "the wildest and most ambitious show yet at Lincoln Center NBCBC).
And since Lebanon has always been a critical testing ground, that could mark a possibly significant shift in regional dynamics with another major election, in Iran, on Friday.
Political analysts expect Republicans to make gains — possibly significant ones — in Congress in November, threatening to retake the House and maybe even the Senate.
Connor makes a deck of cards with possibly significant names and phrases at which Branwell can blink; the boys progress to an alphabet, giving Branwell the chance to offer Connor clues not named on the cards.
The judge quoted from ABN Amro e-mails voicing concerns that S.& P. analysts might realize they had ignored one possibly significant issue, and concluding the bank should not bring it up, at least not with any specificity.
Although similarities exist among protocols, they vary in possibly significant ways.
"The potential benefits accruing from machine learning and their possibly significant consequences for employment need active management," they write.
Added to the problem is the fact that a possibly significant portion of Amazon's 13.1 million customers made one-time-only purchases.
