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Wiktionary
liveblogging

vb. (present participle of liveblog English)

Wikipedia
Liveblogging

A liveblog is a blog post which is intended to provide a rolling textual coverage of an ongoing event, similar to Live television or live radio. Liveblogging has increased in usage by news organizations and blogging establishments since the mid-2000s, when they were initially used to broadcast updates of technology conferences in the absence of or alongside streaming video captures, and like microblogs, have gained currency as an online publication format which performs the same function as that of live television news coverage.

The BBC uses the word "live text" for its own liveblogging events.