Wobbling will not cause the fan to fall, and there have been no such reports. Wobbling can, however, cause light fixture covers or shades to loosen and potentially fall. These items should be securely attached, with all screws tightly set in place.
How do I know if my ceiling fan is going to fall?
Wobbly Blades
In the event that your ceiling fan gets off balance, its blades may start to wobble as it spins. Eventually, a wobbling ceiling fan could be at risk of falling from the ceiling and putting you and your loved ones at risk of harm.
Is it OK if a ceiling fan wobbles?
It's normal for a ceiling fan to have a little bit of wobble, but a lot of wobble can damage the fan and possibly something else in the room. They can also be loud. Fortunately, it's not too difficult to fix.