neera this is totally a personal personality thing.
this could be about anything - not just hand sanitizer.
if i remember right your dd is 3 or 4.
i will tell you what works for me. what i have discovered about dd and me. she has the personality that when she discovers something new, she would immerse herself in it, and then once she was over her needing to 'know' to 'discover' she was done. but that initial immersion is over the top.
i discovered this about her as a baby, which is why i gave into things like tv, etc which others would frown about. she would watch tv for 7 hours and then be done for a month.
now i did that otherwise if i said no, it would become a huge thing far bigger than it is meant to be.
even today at almost 10 my extremely curious child immerses herself (of course now most of it is good - like researching for a project for school, where i have to tell her hey enough) and i recognize that is HER personality.
what i have decided my role is - is provide her the choices BUT NOT FORCE her into it. and i think its the tantalizing pull of those choices are what made her not be addicted (well her curiosity would get to her).
so in your case i would not remove the hand sanitizer. i mean remember it IS fun. that coolness on your hand. instead i would offer her other choices. like that foaming soap bottle. i would think two things - texture and smell. so i'd have a bar of VERY fragrant soap in the shape of some fun thing (or a hand made soap with a flower in it that you can see if not made in a nice shape). and a liquid soap that has a smell but has the picture of fishes or cartoony sea creatures on it. so when your dd wants to wash her hand she has the choice to use which one she wants.
you'll be surprised how much they love the foaming kind.
Follow Mothering