The best Twitter (X) GIF downloader is typically a free, web-based tool like Twicsy or Xnapper.
You simply copy the tweet's link, paste it into the tool's box, and it downloads the GIF (often converted from the MP4 format Twitter uses) to your device without needing an app install.
The best options are online web tools like Twicsy or Xnapper, where you paste the tweet's link to download the GIF as an MP4. For conversion back to a true GIF file, EZGIF.com is a popular and free option. For mobile, apps like Tweet2gif (Android) or GIFwrapped (iOS) are highly rated.
The best Twitter GIF downloader tools make it a cinch to save GIFs from within tweets. Among popular options, there's SaveTweetVid, TWDownload, and SSSTwitter, all offering super-fast and simple downloads for both mobile and desktop.