I have a strange issue happening with a new site. It keeps going down and shows under construction, but after I login to WP admin, the site comes back up! Any suggestions as to what might be going on here? Thanks!
That's probably because the site is visible for admin but not for public. This might be due to a maintenance plugin or a code in functions.php or in htaccess.
This could also be due to a cache issue. In this case try to delete the cache.