Configuring preferences and options in Outlook.com
So, I was looking for an answer to this question as well, as my app just. Keeps. Getting. LARGER.
The main issue I have is that it automatically downloads the past entire history of emails, and there is no way to prevent that. This may be something that can be done, but it seems no one has any luck.
I find it strange, as there's the option to change the date range on the desktop app, yet not the Android app. I may just have to suffer with the rest of you.