Is this still occurring after updating El Capitan to 10.11.1 (Should be available as an update in the App Store)? If so, try creating a test user account and use Safari logged in to that account to see if you are experiencing the issues there (Don't forget to delete the test account after trying it out).
Returned in 6.1.12.0 with OSX 10.11.1?
Sometimes http (not https!!!) traffic seems to be blocked. When I then check the Eset logs, I see the following errors:
23/11/15 19:11:22 Protoscan Proxy Agent Cannot get socket address: Invalid argument root
23/11/15 19:11:22 Protoscan Proxy Agent Cannot get socket address: Invalid argument root
23/11/15 19:11:22 Protoscan Proxy Agent Cannot get socket address: Invalid argument root
When I go into a terminal window and find the proxy daemon and kill it, all will be fine again for a few minutes:
ps -ax | grep esets_proxy
Result => 2829 ?? 0:19.47 /Applications/.esets/Contents/MacOS/esets_proxy
First number is task ID, then I kill that task:
sudo kill -9 2829
Now I can surf again for a few minutes.