Yes. When I worked at a daycare we were mandated by the state to remove necklaces and bracelets from children because they can choke or cut off circulation. Also if they break they can become a choking hazard. I don’t think it’s worth the risk.

Totally not just take it off her when sleeping.

No!
Just make sure you don't leave it on her when it's time for bed.

No. Just make sure it’s not loose or worn to sleep.

Like a teething necklace or regular jewelry?

Yes.