This is my mini phone strap version of the free pattern available here. I followed the pattern as described, but used thin yarn/crochet thread and the equivalent crochet hook (I think I used a 1.5mm). My finished cup is just under 2.5cm/1 inch across the top.
The other change I made is before I stuffed the cup and stitched the top on,
I (tried to) freehand embroider a rosetta on the top piece.
If you make this mini version, I’d love to hear how it turns out for you.