Short answer: usually yes, for personal use. The copyright picture on Twitch has some wrinkles worth understanding.
Twitch sits on an unusual copyright footing compared to YouTube or Vimeo. When a streamer broadcasts, they retain copyright in the creative expression of their performance, but they grant Twitch a broad licence to transmit, store, and distribute the stream. Clips and VODs generated from that broadcast sit at public URLs that anyone can load in a browser without logging in. That public status is the foundation of what every Twitch clip downloader — including MediaFetcher — does.
For personal, non-commercial use, downloading a clip or VOD is broadly protected under fair use in the United States and fair dealing in most Commonwealth jurisdictions. The same time-shifting precedent from Sony Corp. v. Universal City Studios (1984) that protected home recording on VHS has been cited for every home-recording technology since, and personal archiving of a publicly accessible stream sits comfortably inside that precedent.
The People Also Ask results for "Twitch clip downloader" include a very specific question: can you download someone else's clips? The technical answer is yes — all public clip URLs work regardless of whose channel they came from. The legal answer is: for personal viewing, reference, and non-commercial commentary, almost certainly yes. For re-uploading to your own channel for ad revenue, absolutely not. That is straightforward copyright infringement and streamers regularly DMCA channels that do it.
Which brings us to the other Twitch-specific wrinkle: music DMCA takedowns. Twitch does not license the music catalogue the way Spotify does. When a streamer plays copyrighted music on stream, the resulting VOD may contain that audio, and the major labels have run sweeping DMCA campaigns against Twitch VODs since 2020. If a VOD you downloaded contains copyrighted music, your personal copy is still protected by time-shifting — but publishing a compilation of that VOD elsewhere is not. The Electronic Frontier Foundation's coverage of the 2021 Twitch DMCA wave is the best plain-language write-up of why this is a mess that has nothing to do with the streamers themselves.
For journalism and criticism — writing about an esports tournament, reviewing a streamer's response to a controversy, covering gaming culture — fair use gives you wider latitude. Reproducing clips or still frames for the purpose of commentary is a textbook fair-use application, and newsrooms do it constantly. The test is purpose and transformation: are you informing a reader about the original work, or are you just reposting it?
This is general information, not legal advice. Commercial use cases — monetising clips, selling compilations, using Twitch footage in a paid product — warrant a conversation with an actual lawyer in your jurisdiction.