Website frequently going down

Over the past week of so Jetpack has repeatedly reported that my Wordpress site is offline, and it comes back up some minutes later. I’ve had maybe half a dozen of these notices in the past week or so; only occasionally (1-2 a year maybe) before that. I haven’t recently installed or reconfigured any plugins, and as far as I know, the Wordfence plugin has been blocking all break-in attempts. Is there something I should do at the Wordpress level, or should I ask Reclaim?