The Sony Xperia Z1 Compact is due to release in the coming weeks and for those planning on acquiring the handset, you may be glad to hear that root and a CyanogenMod-based recovery is now available.
XDA dev DoomLoRD worked on creating the solution with the help of a willing guinea pig who owned the phone, Koush and his CWM recovery work and the Free Xperia team. The solution requires an unlocked bootloader and all details can be found in the source link.
Via XDA-developers.
Thanks DoomLoRD!