I thought I would share how I secure the first side while I'm working on the second. I knit the last row onto another, longer set of needles and then put a lock on those needles to keep the stitches from coming off.
Pattern: Traveling Zebra Shrug by Carolyn Blakelock
Yarn: Biscotte & Cie Bis-sock
Needles: US 2.5 (3 mm) and US 4 (3.5 mm)