The Weaver's original name was Nerubian Weaver, of the Nerubian race from the Warcraft universe, and was called Anub'saran.
in Dota, AllStars Weaver had a playful name - Anoob'seran.
Shukuchi is a Japanese term for rapid battle techniques. The name of the ability is a reference to the ability of the same name by the character Sojiro from the anime Rurouni Kenshin.
The Time Lapse icon is most likely a reference to the Alien 3 movie poster due to actress Sigourney Weaver, who plays the title role in the film.