I recently created a web part for SharePoint Online that retrieves the current user's Office 365 Groups and generates a list with thumbnails and links to that group's SharePoint page.

Example Image

I have submitted this web part to the SharePoint repo on GitHub and it was accepted! Feel free to check it out: React-My-Groups

Update: I participated in a community demo on 11/21/19. You can find the video at the link below, in the video you will find the latest updates for SPFX and two other awesome web parts that were demoed.

SharePoint Framework Community Call - Nov 21st 2019

I will be posting a series on the development of this web part so stay tuned! This series is almost ready and will be posted soon!