I follow 300 people on twitter. Only a few of them are important to me. Those few individuals tweet very infrequently. I would like to create a short list of those people and get a text msg (or instant notification) on my iPhone for every one of their tweets, not just mentions or dm's. How would I do that? All the apps I've found just do mentions and dm's.
I am afraid that there is no such function. But what you can do is creating a RSS feed from your list and then sending updates via some web service to your e-mail.
After much research, I found this highly regarded iPhone app. PUSH 4.0 $4.95 Works perfectly off of a "list" you create in your Twitter account. I highly recommend. Reviews are stellar. Pushes emails and lots of other uses.