S.H.
Has ANYONE ever told her, that you would die?
Has anyone ever put ideas in her head?
Maybe because you/your Ex is divorced and she's displacing her fears onto you...
She seems to 'fear' things.. it not just being clingy... but well, kids this age still do get clingy... and/or separation anxiety. ie: in Kindergarten etc.
But they usually outgrow it. But for your daughter... it could just stem from the instability of her 2 parents not being together.
Maybe it is just her personality? Maybe she is a "worrier?"
Does she have friends? nice peers? Teachers?
Maybe, speak to her Teacher about it... and see what ideas can be suggested.
Or has she ever been mistreated and you not aware of it?
Maybe someone put mean ideas in her head?
At my daughter's school, for the incoming Kindergarten kids... the Teachers and Counselors are on extra observation/alert mode... to make sure the incoming kids are "okay." If not, they have a counselor that will work with the child to help him/her adjust to school. My Daughter went through that... and the Counselor was great.. it was simply playing and building a rapport with her so that the child knows they have someone they can go to for any help and to express their feelings with and/or problems... so they get more confident... and used to school etc.
All the best,
Susan