I can only imagine non of my girl (space) friends are overly clingy. Though i do have a crush on this one girl who has confirmed to also like girls but i is too scared to ask her also im sort of in the closet as a bi person so there's that
What about asking her to hang out sometimes?
Nothing official like a date, but cool, easy, no stress, just you two, so you can chat and see what happens.
Of course, it also depends on your surroundings, the country, the culture...
Where I am, I can invite a girl I barely know to a restaurant, a concert, a movie, ect. it would never be considered as a date unless it's stated. It's part of the ... "oh yeah, no big deal", it's quite helpful in this case, as it allows you to see if there is a way to something else, without having to be out
Good luck!