Their web site says they are on Tune In, so seems likely to work on Sonos. I’m not seeing it on there yet, but as it launched today it might take a while to show up.

https://www.thetimes.co.uk/radio/how-to-listen-to-times-radio/smart-speaker

I looked at the web page for a url but they are using dynamically generated tokens so that is not likely to be a productive method.

I’m in the UK and Times Radio has been showing up in TuneIn since (at least) the start of the day. I’ve had no problems streaming it.

I tried but couldn’t find it on tune in or sonos radiio

I cant find it on Tune in or Sonos Radio

I had a bit of trouble finding this. If on your Sonos app you go:

Browse

TuneIn

Press the magnifying glass and Type Times Radio into the search

Press the very small “more” on the right hand side of the screen adjacent parrallel with the TuneIn logo. 
 

Then it’s in the list! 
 

That’s great - worked fine thanks. Now saved.