Idea:

1. Use ESP8266 to talk to Twitter
2. Get User Data or Tweet or Search Twitter
3. Display the data on a Dot-Matrix display

Implementation:

I created an Arduino library to talk to Twitter using its Web API made for ESP8266. There are other approaches like using a bearer token arduino-twitter-api, but comes with limitations in terms of not being able to send tweet. This Arduino library TwitterWebAPI can both search/read and post tweets.

All the instructions and usage of library is described on my GitHub library page https://github.com/debsahu/TwitterWebAPI