How can I stop this type of tap from dripping?

when does it drip, or is it dribbling after it has been turned off?

Is it a quarter turn, ceramic disc or is it a standard washer type?

It drips throughout the day and night but not quickly on the cold side only. How do I check if it is 1/4 turn/cermaic or standard?

Ours work like this.
Turn off the water, watch for the boiler needing a supply first.
Remove Tap head usually under the cap with H or C on.
Remove collar below where the tap's handles were.
Un screw the valves with a large spanner, The Washers are under there,if it has them.
Good skill for the future.
You can tell if it's got washers by it feeling soft when you tighten the tap closed rather than a solid off position.

Albanach – Member

How do I check if it is 1/4 turn/cermaic or standard?

If it runs full on/off in 1/4 turn, it's…..

1/4 turn means you only turn the handle through 90 deg to use it. If that is the case you will need to identify the make of the tap and order a cartridge. Good luck with trying to identify it, it looks a bit like some taps that I fitted for a customer on a barn conversion. They were by Gummers I think but I can't fid them on the web at moment.

One of the reasons that I stick to certain brands when specifying so that I can obtain spares.

Thanks for the help everyone!

have you done it then?