You can turn off the Lightroom Mobile syncing.
You need to open Lightroom and click on the dropdown menu under Identity Plate and choose Pause next to Lightroom Mobile.
Thanks a lot for your reply - But your solution apparently does not work! When I open the Identity Plate I get: "Sync with Lightroom mobile - connect (there is no "pause" button as you can see on my screen capture). If I click "connect", the Adobe website window opens and asks me to sign in into my Lightroom mobile account. There just doesn't seem any way to get out of this loop ! Bug ???
Thanks for the update.
Please click on Help menu within Lightroom and choose Sign out
then, close and re-open Lightroom and choose to sign in with your serial key
Let me know if you still receive the message regarding Lightroom Mobile after this process.
Hoooray and thanks for your help, Chetna ! It worked !
Great.. glad to know you got it working.