Yes, once set up there is no reason you can't move it to a different TV, unless you move it to a TV that has an aerial facing towards a different transmitter, in which case you may have to perform a retune.
From the 29th of March our TalkTalk Community will move to peer-to-peer support and the TalkTalk team will no longer be here to support with queries. Don’t worry we still have plenty of ways to reach out if you need to speak to TalkTalk directly. For more details check out the link here:
How to contact TalkTalk Broadband - Help & Support.
