Can I remove these telephone sockets?

Yes shouldnt be a problem as long as you disconnect the slave socket from the master socket above before removing

I've just ripped out 6 of these so far in our new place. There is one in every room and hallway - proper old school. Only have fibre so will literally never use them.

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PTSN lines are being switched off in a couple of years, so all of this will be redundant soon anyway. If you can get fibre to the premises (FTTP) then I'd remove them now as you'll probably never use them again.

I just literally ripped them off and cut the ghastly wire touching my house outside. I don’t need a phone line. The voltage is similar to a small battery. Eventually BT came by doing maintenance and removed the wire from the wooden post in the street. I did cut it short though so people couldn’t mess with it in the street.