Released in 1964, the "L" suffix denotes that the set had the addition of a preset "208" tuning button for Radio Luxembourg.
As with the standard TR82 models the colour schemes offered were the same. So you could have the TR82CL with a pale blue/green case and blue rexine or the TR82DL with a light cream case and tan rexine, both models having chrome trim.
But why bother to produce sets with a "208" button in the first place? Well, Radio Luxembourg was immensely popular at the time but receiving the station satisfactorily was not without its problems.
Radio Luxembourg tended to suffer a great deal from cyclic fading after dark and could be quite difficult to tune in, so a preset button specifically for the station was very useful. No doubt it was a good selling point for the sets.