I list this as an answer for the sake of having it linked here. It is not full https yet but he is working on it and it may be doable in the future http://evothings.com/is-it-possible-to-secure-micro-controllers-used-within-iot/
here is a benchmark he did encrypting a message using a 1024 bit public key
Arduino UNO 16Mhz AVR ==> 12596 ms* 8504 ms#
Arduino Leonardo 16Mhz AVR ==> 12682 ms* 8563 ms#
Arduino Mega 16Mhz AVR ==> 12596 ms* 8504 ms#
Arduino Due 84Mhz ARM ==> 1032 ms*
Arduino Yún 16Mhz AVR + 400Mhz MIPS ==> 707 ms*
Intel Galileo 400Mhz x86 ==> 192 ms*
This is as far as he has gone with it but is in the process of setting up a test server to work on seeing how close to a full ssl/https implementation he can pull off.