I don't know about new, exactly, but I bought a new Parker about five years ago from Cup O Joes, if I remember, a slightly bent cherrywood shape briar. It's a sturdy little pipe, nicely drilled and a good clencher with plenty of bowl. I like it. My only complaint was the over-application of bowl coating or finish that lined the shank and took time to wear down with pipe cleaners. It was an annoyance, but not a permanent flaw. In general, Parkers seem like standard quality pipes that are moderately priced. If you buy one, you'll probably do fine.
jpm', I am of the opinion that Parkers are never Dunhill seconds. To my eye, the shapes don't match up, and I doubt they start from the same stock of briar. I think the Parker assembly line is a separate one, as is Hardcastle and perhaps Britannia. Likewise, I'm not sure if all the work is done in London, despite the stamping, or England for that matter. France and/or Italy may have their hand in some of the work before they reach UK. I don't have any inside knowledge, but some on Forums believe this is likely.