"clearly neither" is correct and can be used in written English.
It is often used to emphasize that something or someone does not fit into a specific category or does not have a defined quality. Example: The comedian's jokes were clearly neither funny nor original.
Clearly, neither man was confident in his team.
Clearly, neither man's true ability will be known until the opening is there for them.
Jewish leadership in Palestine was clearly neither anti-Semitic nor indifferent to the situation of their brethren.
Clearly, neither does a fire on an aircraft carrier, even one that claimed 50 New York lives.
Clearly neither side is prepared to take the let-go-and-change option that Abu Said suggests is the Sufi way.
Clearly neither of these men were a threat to anyone, nor were they about to sprint out of the nearest exit.
(Clearly, neither of these supposedly reformed devil's advocates seems to feel that their newfound Christian faith should have any impact on the kind of things they actually write).
In the end, the doctors take a body that was clearly neither male or female and turn it into one they can represent to the world as "male" or "female".
Clearly, neither Opie and Anthony nor any of their colleague shock-jock hosts have played any direct role in encouraging real-life attacks on women like those in New York's Central Park last June.
"While we understand that everyone has a right to protest peacefully and lawfully, this was clearly neither of those things so we will be assisting the police with their investigations into what could have been a very dangerous and irresponsible attempt to disrupt an operational power plant".
She elaborates, using the humble pizza as a case in point, and her notions are entertaining as far as they go (a pizza, she writes, "is like a smiling face: it assuages the fear of complexity by showing everything on its surface"), but she's clearly neither a connoisseur of Italian cuisine nor an enthusiastic amateur.
