I don't remember where Kerstin posted this tip, but I did it tonight and it worked beautifully.
I'm weaving a warp with chenille every 3rd thread warp/weft and had a few broken ends as I beamed the warp. Now I know chenille is a bear to try and needleweave in, so when I came to one of the broken ends I did as Kerstin suggested - ran the repair end alongside the broken end for a couple of inches (what can I say? I'm a coward!) before cutting the one out.
It worked so well I will be doing this for the rest of the broken ends in this warp for sure. :D