Module for using Twitter's timeline widget on user's profile pages?
If you want to do this yourself, in broad strokes, you could create a custom module that does the following:


Creates two user profile fields that your users can edit if they want:

a.  Their Twitter User Name

b.  Their Twitter Widget ID
Creates a block that:

a.  Is displayed when a User Profile is displayed and these two fields are filled out that

b.  Takes these two fields from the user profile being displayed and integrates them into the HTML required by Twitter (see https://twitter.com/settings/widgets/new when logged into Twitter), eg, it outputs the twitter code from your previous question (https://drupal.stackexchange.com/questions/94079/allow-users-to-embed-twitter-feeds-without-allowing-script-tags) but fills in the USERNAME and WIDGET_ID with the values of these two fields.


Once again, Twitter is requiring this Widget ID, so whether or not this is confusing to your users is, unfortunately, irrelevant.