The current version of this plugin, as well as previous versions, doesnt gracefully handle twitter capacity problems (the whale) or outages (no response at all, as happening right now: see http://mashable.com/2012/06/21/twitter-down-june-2012/)
In the former case (whale): when placed inside a widget, simply break the output, resulting in a widget with a broken layout (no bottom part). Instead it should show something like "twitter is having problems. please check back later."
Worse, the latter case (outage): halt the front facing section of wordpress completely with an error 500.
There has got to be a way (or plugin) to better handle this situation...