If you post a reply in a thread, then you can see it in your posts on your profile. You can click on your member name at the top of the web page and it should take you to your profile page, where one of the options right under the little pic area and name is "view latest posts" and it should pull up all of your posts/replies in chronological order (not sure how it would work on a mobile phone's browser but likely similar).
Or you can subscribe to the thread in the thread tools menu, located in the thread's first post area, right after "view first unread." There are ways to save threads into categories and folders, but I'm not very familiar with them unfortunately on how it works, so not sure if it is what you're looking for, but you may want to try playing with the settings for that and see if it may work for you.
There isn't a perfect way of doing this, but one of those two methods might be helpful anyway.
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