This has worked for a few other guys:
A) Assuming your internet provider isn't all that solid with it's connection, you should eliminate anything that may competing for your PC's attention. I've used the following things when I had trouble:
Close everything unnecessary before you play Links! Then run EndItAll (Free) to close the things you don't know about.
EndItAll - eliminates apps and services that may be needlessly running in the background.
https://loaditsoft.com/download/enditallIf you decide to use it, watch the installation closely to make sure the web site isn't going to try installing some extraneous software that THEY think you should have (or that they are getting paid to add to the EndItAll download) like "ScratchMyA$$" or something. The installer will ask before it installs it - say "no".
B) Play the Links game in "Offline" mode.
1. In the Links game, click "Online", then "Links Tour", enter your LSPN info, hit "OK" - (Welcome), hit "OK".
2. Links Tour Page - click "Game Settings" button.
3. Click "Play Offline"
4. Click "OK"
5. Select your Tournament and continue. The only change from here on is that you will need to PAUSE (for a few seconds) after holing your final putt on #18 and getting the "Sending Statistics in" message, until you see the "Statistics successfully sent in" message.
Pete