Is there any way whatsoever to get rid of a cursed item (amulet for example) after you've equipped it?

The priests can cast remove curse/remove damnation (for a price, of course). Or you can do it yourself, if you find such an item.

I've done a bit of quick testing and can confirm the following:

1. Remove curse has no effect on cursed items and when I paid for priest to do so item was still cursed and applied
2. Remove damnation does work on cursed items and when I paid for priest to do so item was uncursed and able to be removed.

As far as the reason why it's the case I remember a while back Smacky mentioned about curses and damnation (stronger curses) being unnecessary duplication so I think it was planned for curses to be removed.

If wanting a quick fix to prevent people spending money on remove curse that does nothing I would suggest removing it as an option from Priest NPC lua script.

P.S. It should be added that Remove Damnation only works up to the level of the NPC casting it. So a level 110 NPC can do it for everything but a lvl 15 NPC only does it for up to lvl 15 items. This mainly applies to potions that can be cursed/damned with high levels.

Remove Damnation does work, it's just Remove Curse that doesn't. Remove Damnation also removes curses.

Problem is that Remove Curse robs player of their money and doesn't remove the curse. So if you remove Remove Curse then they'll have to go for Remove Damnation and it's OK

Fair enough. I removed RC, and adjusted the price on RD to be between RC and RD (much more forgiving on LLP's who don't know any better). Changes have been updated on Main.