“Error connecting to LCweb endpoint. Please check your cURL server settings”

As first, please check THIS FAQ.

This message is returned by wordpress and it’s about the remote call performed against LCweb updates endpoint located at http://updates.lcweb.it
In most cases is caused by a server limitation on that URL.

In few words, your server refuses to communicate with the LCweb endpoint.
Unfortunately there’s nothing to fix or to be done by you. The only option is to ask your hoster to unlock this.

As side note, sometimes this message is connected with admin side slowdowns.
In this case just disable the auto-updater going into settings > first tab > advanced section