I’m having the exact same problem with the same hosting service. Already contacted them and mentioned about the Varnish cache and they said:
The issue seems to be with some of the features with Jetpack that usually conflicts not just with One.com but other hosting providers as well. This issue has already been reported to Jetpack and hopefully there should be a fix from their end soon. As for your website bebenyabubu.com is working fine as of now and we see the Jetpack plugin installed on the site and the plugin is active as well.(note from me: it is installed and active but it can’t connect to wp.com) Hopefully Jetpack can release a fix or a work around for this soon.
Any input on how to solve the problem?
Regards