I know there are people who lift and climb and I know that it's been discussed on here several times.... but I don't know any particulars. So, here's a cheap answer: If you really like to climb and want that to be a priority over just getting strong, figure out how much climbing practice you need to do and then fit some strength training around it. If there's a season to climbing, decrease the climb practice in the "off season" and increase the weight training.
I've run into some climbers who've competed at the Starting Strength meets in Oakland. The first one who comes to mind is Natasha Barnes.