I tried to use Rest API to get list items in Office 365, the list has 3 items in total.
When I visit the below URL:
http://sitename/_api/web/lists/getbytitle('List Name')/
It shows list information, but in the item count it has 0. These 3 items are there in the list for more than a week now. Rest API is working fine for other list items in the same site.