In reply to Ahogg16: One of the best places to abseil in The Lakes would be Hodge Close Quarry, there is also another popular abseil in Cathedral Quarry and a dedicated National Trust owned abseil area on the approach to the Bowderstone (you have to get permission from the NT before you can use this one).
In Yorkshire the ultimate abseil is off Malham Cove (but... there have been accidents and it's definitely not suitable for novices), there are other opportunities on the left Wing of the cove.
More locally to Leeds I often use Ilkley. This is very convenient for all sorts of climbing activities and good coffee at Tony's to boot!
Hope that helps,
Dave
Wild Spaces