Sentence examples similar to a further exception is that from inspiring English sources

No further exceptions are possible, so that consumers - and the Greenpeace study showed this - know what they are eating.

In a coordinated exception handling mechanism, a global exception is an exception that needs to be handled cooperatively by a set of participants.

China, though an extraordinarily important exception, is still just that: an exception.

That exception is dairy farmers.

Unfortunately, that exception is a big one.

This "exception" is not an exception.

 Exceptions are just that: exceptions.

There might be further reasons why an exception for cosmetics was taken up in the CLP Regulation, but the arguments listed here that plead against this exception are strong.

VW is not considered further in our analyses, with the exception that is it used to enable heritability to be calculated (see below).

Perkins, as a "complete responder" who has needed no further treatment, is the exception.

There is an exception to that rule.