There are a lot of abandoned quarries around Matlock and most of them are pretty grotty. Duke's Quarry is one of these though it does have a couple of outstanding lines - Great Crack in particular is worth a look after a dry spell. It is well sheltered from any bad weather.
Follow the A6 to a bridge over the river and turn off by the Derwent Hotel towards Crich. After 100m turn left along a minor road to Robin Hood/Holloway. After approx 400m pull onto a muddy parking area on the left where a track leaves the minor road. Cross the road and head up the diagonally trending footpath into the quarry.