Try a little bit on the end of the arm to see if it melts the acetate. Remove the lenses before gluing. It takes 24hrs to fully harden. I've never managed to glue a frame with any long term success but I've not tried many either. Normally the repair fails because there's too much stress on too little surface area.
The break is where there's a little 1mm wide brass post that locates the nosepad foot into the edge of the frame. It's a weak point in an otherwise good pair of frames (3rd time I've had the same style fail in the same place - this one's lasted a couple of years).
Try a little bit on the end of the arm to see if it melts the acetate. Remove the lenses before gluing. It takes 24hrs to fully harden. I've never managed to glue a frame with any long term success but I've not tried many either. Normally the repair fails because there's too much stress on too little surface area.