Outlook.com / Hotmail now supports IMAP and so does Cloze.
To connect your Outlook.com account:
1.) Tap on More (...) in the lower right of your screen on iPhone/iPad and lower left on cloze.com.
Cloze on iOS
Cloze on the web
2.) Tap on Settings
3.) Scroll down to Mail Accounts and Tap/Click the Add button
4.) Tap/Click the Add button next to Outlook.com
5.) Enter your Outlook.com email and password and tap/click on connect