Cannabis has new healing properties - it can treat severe eczema and other skin complaints.
Er, yes, cannabis probably does have those properties, but I doubt they are new. They're just newly discovered.
And when the word 'new' is appropriate, the papers seem reluctant to use it. Also today, the Mirror talks about "Paris Hilton's new-style humility" since being released from prison. What, as opposed to her old-style humility?
Update: just thought of another example. In our work, Apus and I often come across phrases such as 'manufacturer X is launching a new product'. Well, if the product is just being launched, it's probably safe to assume that it's new...