In reply to a13x:
http://www.ukclimbing.com/forums/t.php?t=435728
The quarry I link to there is brilliant fun for a day, only problem is the road there is bad, or a 2-3 mile walk in. And you need to take a lot of rope as the only anchor is a fence that is about 25m back from the edge, which is mostly rotten posts so you will want to use a couple at the least.
We had a right faff on last year setting the top rope and then adjusting the length to get it to the edge and then absailing past the knot to save the walk around. You wouldn't want to go towards the edge without being tied in I don't think.
Some of the stuff would be ok to lead if you had balls and the ice is thick enough. There are probably at least a couple of dozen routes all about 10-15m high, so again take lots of rope so you can rig a few different lines.
Let us know how you get on.
There are a few other areas around there which are possible I believe, search last years forums for teesdale/weardale and you should find some vague details.