Easy to knit with simple instructions of knit and purl. The is knitted cosy that just slips over the mug while easing the handle though the opening. I omitted buttons or ties as thought this would be an easier version.

Idea for a little gift: fill mug with sachets of coffee and hot chocolate and individual pre-packed biscuits. You could add cuppa soups as an alternative.
I am sure there are lots of ideas to fill the mug with.