Option 1: Build F# iOS Apps using Xamarin Studio
Xamarin provide F# tools for Android and iOS mobile development with F#, using Xamarin Studio out of the box.
Create a new Project, select “F#” and then the kind of application you want.
You can now create a new F# iOS app, e.g. an “iPad Single View Application”. See the Apps and Games section for more information on getting going with F# iOS development. Report problems to the F# Open Source Group email list and/or Xamarin.
A wonderful video by Rachel Reese on creating a minesweeper game for iOS using F# and Xamarin: