After reading the previous comment about the compatibility issues with the TZ10, I thought I would write a review.
I also bought this battery directly from Amazon, as it was at a reduced price with the camera.
I, however, found that it works perfectly with my camera, I put the battery in on boxing day and I haven't had to recharge it yet, still full bars on display. (18/01/11). Taken about 60 photos and 30mins+ of video footage.
I have read that you need to get a battery that ends in an "E", and this one does say a replacement of DMW-BCG10E.
It may be that problems are from other sellers?