Hi, if water is dripping from your spout while your tap is 'off' that usually indicates that you need to replace your valve (hot or cold ) or both. As it is a twin lever tap then the hot and cold valves are different. You should know by the feel of the water whether it is your hot or cold side that is dripping. If in doubt, then run the tap, then turn off and wait and see the temp of the water (allowing for any water that would have been naturally left in the spout to drip out first).
Hope that is of help. We have more troubleshooting guides / tips on www.tapsandsinksonline.co.uk
Taps and Sinks Online, March 2014