I’ve seen multiple “Allow this application to run with twitter” things, but none that have:
- See your twitter password
under “This application will be able to”
Example:

Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
No twitter will never allow people to see your password… they put it just so you are sure that nobody will ever see your password…
They will never share the password. And, the password are surely hashed in the db so they are mostly impossible to decrypt