'challenging claim' is correct and usable in written English.
You can use it when you want to express that the statement or opinion you are discussing is not easily accepted or is counter to what is typically believed. For example, "The scientist's challenging claim that humans evolved from a reptilian ancestor was met with much skepticism."
He has signed an expert witness statement challenging claims about damage to UK‑US relations made by Foreign Office officials.
Further challenging claims about the end of culture in the city is that the number of public art exhibits grew under Mayor Michael R. Bloomberg's tenure.
In principle, Russian authorities say bank clients can challenge claims in court.
In November 2011, for example, 1-800 challengedhallenged claims made on Facebook by a competitor, Coastal Contacts.
Such atrocities seriously challenge claims by the current administration that it is bringing under control the security crisis it inherited.
To add to Clegg's woes, a universities thinktank has challenged claims by ministers that proposed scholarships for the poorest students will boost social mobility.
When he was planning to marry Elizabeth Macheka, his current wife, another woman challenged, claiming that she had been married to Mr. Tsvangirai in a traditional ceremony in 2011.
THE POSTGRANT REVIEW With the new postgrant review process, anyone can challenge claims in a patent for nine months after it is granted.
Alloush also challenged claims that Russia had truly announced a military withdrawal last week, and accused Russia of a reckless bombing campaign.
Popper's critique of verificationism is primarily to challenge claims of scientific status; it does not necessarily state that the theory should be thrown out entirely.
But in a rowdy Commons atmosphere, Labour MPs, as well as some Lib Dems and Conservatives, challenged claims that the rise was progressive for students.
