Instead of using a cardboard sleave on your takeaway hot drinks why not make your own. You can save on cardboard and show off your creativity at the same time. There are many different ideas for cup cosies; here are a couple to inspire you.
This simple felt cup cosy can be decorated with anything you want.
Whilst these crochet ones look really cute, yet simple.
And this quilted cup cosy from Sew Happy Geek can be made from fabric remnants from the free PDF pattern:
Let us know if you run one up, and which design you went for!