
Sorry, Tweetlogix does not offer its own push notification service. However, you can configure Boxcar to receive Twitter push notifications and open Tweetlogix. Checkout Boxcar in the App Store.
If you're not familiar with Boxcar, here's how to setup Boxcar to open Tweetlogix:
If you're experiencing authentication or 401 errors while using Tweetlogix, these errors are caused by a recent Twitter issue. You can read more about the issue on Twitter's site here.
Most authentication problems can be resolved in Tweetlogix by logging in again to your existing account from the main Accounts view. You don’t need to delete your account, just tap + on the Accounts view and log in again with your existing username. This will re-authenticate your existing account.

Twitter enforces a rate limit for third party apps which restricts the number of Twitter API requests that can be performed within the app for each user account. An API request can be thought of as a single Twitter operation, such as refreshing a timeline or sending a tweet.