I'm using Abraham's Twitter OAuth PHP Library which is an excellent starter. I'm focusing on WordPress and I wish to understand how i'm able to keep access tokens within the user table of my WordPress database rather than the periods to ensure that it's persistent and customers can rapidly do stuff.

http://github.com/abraham/twitteroauth

It appears like you should use update_user_meta in order to save and get_user_meta to create custom values for customers.