So I see a lot of people clamouring for a mobile app for Dreamwidth and here's something to tide you over until we get better mobile functionality.
Now Apple lovers I've got to be upfront with you, I think you're stuck with Safari's Add to Homescreen feature. For Android users though, there's Hermit.
( Hermit Setup Tutorial )
Now for Dreamwidth specifically I can't remember if I used the mobile site but I'd generally recommend you use the mobile version of any site, if available. I link to my Reading Page specifically, because I really only want to check on activity on mobile, but you can link to Home or Latest Things or even a comm!
Part 2 will be about the things you can do with it.
*Edit: I am adding a text area with a link for easy sharing as suggested in one of
potofsoup suggestions for reblog alternatives. In a way, you're also achieving Pillowfort's "opt to reblog" function because you have to manually add the text box for the link.