Ive air layered a fair number of index finger thick junipers in recent years and there are some instances where it goes quite quickly. i think it would also vary by species and cultivar though. Looking at the stem you want to layer off, if it has undeveloped adventitious buds, it will root quickly at that point. They look like small bumps. Sometimes a hard pruning will stimulate them to form. They can turn into branches also, but if you see them, its a good place to do an air layer. Takes a couple of months. Even if not a lot of roots form while still attached, so long as there is change in those buds. I've removed branches this way that hardly had any root growth but the buds had all started growing but some were just swelling up. 2 months after cutting off they had lots of fully developed roots. When I've done layers where there were no adventitious buds showing, it took upwards of 2 years(this parent tree was in the ground in the shade). Its useful to prepare the tree ahead of time as much as possible too. Start fertilising heavily in the spring. I sometimes apply a wire tourniquet about 3mm above the top end of the cut. In your case, maybe very carefully examine it to see if it is calousing over instead of growing roots. If its callusing re-scrape the cut and repack with chopped up dampened sphagnum. If you have any rooting hormone brush it on before adding the moss.