I have always been told the it is highly unsafe to stare into fiber optic cables, but have also seen articles saying that this is a myth. For example, this one.
So it is safe to look into fiber optic cables, or not?
Please see this safety Article.
Working with Fiber Optic Cable
Wear safety glasses. – Every person in the area must wear safety glasses with side shields to prevent fiber shards and splinters from entering the eyes. ...
Wear protective aprons. ...
Avoid fiber ends. ...
Contact lens wearers. ...
Keep hands away from face. ...
Well-ventilated area. ...
No combustible materials. ...
Dispose of scraps.
You should keep away from the ends of the cable and make sure that they are properly terminated.
Also see this article which relates to use and handling of fiber optic cable:
Looking into a fiber optic cable
Since optical fiber carries light, it is assumed to be the safer medium. This belief may be misplaced, however. While optical fiber doesn`t carry electricity, it does transmit light, which, in some instances, can damage the eye
While it might depend on the light level (you cannot tell except with measuring equipment) , I do not recommend looking into the end of the cable and would certainly not do that myself.