Howdy BassBow,
I have applied canvas backing on my first bows, so I believe linen should be similar. I iron the strip to get it nice and smooth. I learned to cut it a little longer than the bow, as it seems to shrink. Then I soak it in a large bowl of water while I size the bow's back with TB3. Once the glue is tacky, I pour on another fairly thick layer of glue.
Now the important part. Take the linen out of the water and be careful not to crease it, or it will result in a lumpy back, and won't end up smooth. To get most of the water out, I lay it on a towel and pat it with another towel so it ends up just damp, not soaking wet.
Then I start at one limb tip and smooth the cloth on as I lay it down, going the entire length of the bow. Once it is smoothed on and straight, pour on a generous amount of glue and smooth it into the cloth, until it is saturated. Then wipe off any excess glue with your finger. I pull the cloth down a bit around the edges periodically as the glue sets, since the cloth likes to curl and lift a little, but once the glue is set, its good to go. I wait 24hrs, then trim with a razor utility knife. I have had good results with this method, but when I just squeezed the water out of the cloth instead of patting it and not creasing it, it turned out a bow with crease marks and little lumps on the back. It still worked fine as a backing, but was less attractive. If I have time tonight i'll post a pic of the difference between the bows I did.