Harry Potter discussion

Hey all,
Could i have some help finding a fanfiction?
All i can remember from it was that Harry and Hermione are using a time turner - to train, I believe? - while they where travelling with Hermionies parents.

Also harry and the Grangers where travelling further abroad than England, and moving every week or so, while harry and Hermione get closer romantically
i believe Hermione still had the time turner from POA, as her head of house didn't take it back?
Sorry I cant remember any more accurate information

If anyone has any information about it, even if its just that they recognize the fic, or they know what site it is on, it would be much appreciated.

Are you still looking?

Is this Hermione/Harry fan fiction? Have you tried searching for it on Archive of Our Own? Or tumblr perhaps?

(I realize this post is four years old but I figured I'd ask anyway. It's not like Goodreads discussions are that active anyway.)