The phrase 'unique exception' is correct and usable in written English.
It can be used to describe something that is singularly distinct or different from the usual or expected. For example, "This case is a unique exception to the normal process."
Bakers don't usually have groupies, but Peter Klann is a unique exception.
"But Hermès is sort of a unique exception that has managed to grow and still stick to its roots," he said.
But at least part of the appeal of this story is that it offers an astounding, even a unique exception, one that allows people around the world to think about miners without feeling a bit uncomfortable or even guilty.
For that matter, even the constant attention to the material circumstances of the action is realized without any particular visual imagination (with the unique exception of a very brief but wild scene involving flames), without any personal or inventive approach to Nancy's physical struggles.
Raising India to the status of a strategic ally, he cut a unique exception in the global nonproliferation regime, proposing that India be allowed to keep its military stockpile even as it gained access to technologies and fuel for its civilian reactors.
It was also because the unique exception granted to Hizbullah to bear arms, under terms reached at the close of the civil war, has helped turn Lebanon into a zone of struggle between far bigger regional powers, such as Iran, Syria, Israel and America.
The GS0 model manifested as the unique exceptions the first two translational and symmetric modes.
As the game has evolved, traditional polo rules are in effect with some unique exceptions: A foul is called, for example, if an elephant lies down in front of the goal.
"One of the few, almost unique, exceptions is match-fixing".
The unique exceptions to the analysis routine were the inference of consensus gene-rankings for individual organs (root, leaf, inflorescence and fruit), which were constructed without participation of NormFinder software because an estimate of the intergroup variation is not possible.
Contagious cancers [Tasmanian devil facial tumor disease (DFTD) and canine transmissible venereal tumor (CTVT) (Morgia et al. 2006; Murchison 2009)] present unique exceptions to the expectation, based on these considerations, of reduced adaptive evolution in cancer cells.
