Yes, it's running on my system, which is a 5 year old Macbook Pro running 10.9.2. I have 4gb ram and a 2.4ghz Core 2 Duo.
I did have problems however trying to sync the blockchain initially. I had a partial blockchain that I had on another computer, which I copied over. Normally in this case the computer reindexes the block files on disk, figures out where it is, and then picks up downloading from the last point.
However, I got behaviour very similar to what you're describing. It would go to "verifying blocks" and stay that way for a very long time.
In the end I fixed it by deleting all of my previous blockchain (I deleted everything but wallet.dat), and then let the app download the blockchain from the beginning. It took about 4 days, but in the end it works as expected.
Didn't really test it out much, but I don't think I saw the same thing on my 20gb Mac Pro, so I think the MacBook was just too resource constrained.
Also, the new Bitcoin coming out, Bitcoin 0.90, is available as a 64 bit app for Mac OSX, so this will likely help. I'm running 0.90 on my Windows machine and it's fine. Haven't put it on the Mac yet.