The curse of the golfer's/tennis elbow. Often the left one. google 'site: startingstrength.com elbow' for the litany of shared pain.
Your grip looks to be the palm & pinkies thumbless grip on the bar that's often suggested as standard, and your wrists aren't extended - nothing horrible there.
Ibuprofen, working around it, volume curls & chins, wider grip, dropping elbows a bit - these all come up as treatments/rehab solutions - but their effectiveness person to person seem to be wildly variable. As Andy Baker said in one thread (http://startingstrength.com/resource...ad.php?t=29634) :"I've never been able to solve this riddle. Usually just high doses of ibuprofen and trying to work with different grips, etc. ". Some folks go to a thumbs around grip, with/without wrist wraps. Haven't tried that myself yet. 5 days of the vitamin I protocol worked, then it came straight back.