Twitter keeps telling me that I need to reset my password. I request the link to reset it, and click on the link as soon as I receive it in my email. That just takes me to a regular login page, and as soon as I try doing anything there, it tells me that I need to reset my password. I've gone around and around in a circle dozens of times and can't find help anywhere.
I've had this problem before with one of my accounts. @Adam James Jack is right. Deleting cache and cookies solved my issue. Well, I just did it from an incognito tab in Chrome, but that's essentially the same thing.
Thought I would throw in my 2 cents worth on this thread. I had a similar issue and using my Android to try and reset my password. When I access to the reset password email via my laptop it took me to the correct page. If you are trying to reset your password from your email/phone - try clicking the link and changing the password from a computer or laptop. Hope this helps somebody