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 mobile (iOS/Android) and lower left on cloze.com.
2.) Tap on Settings
3.) Tap on Connected Accounts to expand the section and then tap on the "Add" button. Tap on Outlook.com / Office 365 for Home.
4.) Enter your Outlook.com email and password and tap/click on connect