Conventional wisdom in meteorology says that brief tornadoes that spin up with "mesolows" cannot be warned of because "the tornado will be gone before we can get the warning out."
I have disagreed. In the era of smart phones and immediate television notifications (crawls), there is time. They display a warning instantly.
An example is yesterday in far northwest Kansas.
Please note that in this case, the Goodland NWS did a great job and had a tornado warning out in time to notify people in danger. But, that is the exception rather than the rule.
Even though I had to add the state abbreviations and note the location of the developing tornado and extreme winds, the notification was on Twitter and was available before the tornado and damaging winds occurred:
The National Weather Service should put better warning software in place so warnings can be issued more quickly and, as a whole, should rethink tornado warnings in these situations. Had this been in a densely populated area, there would have been considerable mild to moderate damage.
Addition: Here is a view of the extreme winds.