My original tumblr post was here. This image was researched by Bacchus at ErosBlog as part of the “Δ commission.” The research was originally published at Hedonix as “Δ 077 – Say Hello To Blinky!.” Here is what Bacchus found.
The earliest post in this animation’s tumblr chain of attribution contains the tags “#Shizuku #Hunter x Hunter #HunterxHunter #HxH #gif”. The reference is to Hunter X Hunter, a Japanese manga series adapted into an anime television show. The girl in this animation is the character Shizuku, who has the power to summon a magical vacuum cleaner named Blinky who can suck up anything that is not alive or itself conjured. There are some screen caps of Shizuku and Blinky here, including this one: