I've own a CIJ and now a '62 AV Reissue. The bridge is fine - the issue is soem people experience saddles coming loose since there isn't much tension on them due to the design. (The Squier '51 suffers the same problem).

Easy solutions include:

1. Install a buzz stop
2. Use Loc-Tite on the saddle screws
3. Install a Mustang bridge

I chose to opt with option #1 for both my Jazzmasters. They cost $39.95, require no modification to the guitar, and install in minutes. I included a pic of my old CIJ Jazzmaster with a buzz stop installed. Look under the bridge and you'll see the buzz stop. It just forces the strings to put a lot of tension on the saddles which in turn will not come loose from playing any longer.

Don't hesitate to get a Jazzmaster... they are a beautiful instrument and have a sound and feel all their own! You won't regret it!