Can someone explain what ramifications this has for companies operating in the US that may have "personal" data on EU people? I am curious to know if there will

Can someone explain what ramifications this has for companies operating in the US that may have "personal" data on EU people? I am curious to know if there will be a new wave of lawyers coming after me for running Twicsy. (FYI, I get requests for removals every day, and I comply with all)