I also asked some Belarusian friends how they keep getting information from there. They said they have intermittent access to Telegram but it works better by using proxies. Some of the news channels on Telegram are managed by people outside the country who receive the information via text message. Not sure what type of block was in place (cellular data?).
Edit: Another Belarusian friend said he's able to communicate again with people back home after 3 days of quasi constant blackout.