26 August: I'm using Net::Twitter::Lite::WithAPIv1_1 (version 0.12004) and I was getting '410 Gone' responses from Twitter. For an app which had worked with Twitter v1 API. I found that if I added

  apiurl => 'http://api.twitter.com/1.1',
[download]

to the call of Net::Twitter::Lite::WithAPIv1_1->new() after my keys and tokens, then it worked.