It's as safe as any current version of any software is ie until there are more loopholes found in. It is an endless cycle of find, repair, find, repair.
Lots of people here will suggest removing Java completely if you don't use any sites that use it and there is some logic in that approach. Personally I have it installed on 10 machines and never had a problem so until I do I will stick with it. It's a personal decision.