Twitter this week released a new update for iOS, for "bug fixes" but it seems that the new version came with a bug.
Device owners with iOS they report to iTunes that the 6.1.1 version of Twitter came with a bug that prevents the application from starting. It is not clear whether this problem affects all of them or just some Appliances which have been "hacked". However, either way Twitter should release the new version soon.
If you already have the latest version installed, unfortunately there is no way to "downgrade" it to the previous one, except maybe if you have it old ΙΡΑ στη βιβλιοcase of your iTunes or perhaps a recent backup.