I'm sure there is an easier way, but I just (in the iPhone version) hit the three dots underneath the pic I wanted, selected "Copy Share URL" then emailed them to myself. It's a little obnoxious, but it works.
Thought I might give it a go!
Here's some Tally-Hos:
http://instagr.am/p/Sv1ZLxhhRq/
Here we have a little Rebel action:
http://instagr.am/p/Svx0HYhheb/
and then the Monarchs!
http://instagr.am/p/Svys5DhhfJ/