i don't use BB but a UV nail gels set ()construction and gloss hard coat) and in these resins, cleaning the sticky stuff on top is standard procedure. I use a cleaner (they call it cleanser) which came with the nail kit and it does the job well, the surface is glassy as it should.
THe cleaner is a simple mix of acethone and alcohol but i have used a regular nail cleaner and works just fine.
Give it a try, if the resin is cured nothing bad happen.
The bad part of this sticky residual stuff is you do not know exactly if the resin is totally cured but a little trial to see how fast a certain layer or resin cures (it's thickness and under material texture and color) will help. I first cured for 2 minutes (as nail use instructions specifies) but i tried for less time and i observed it is properly cured much faster, they advise you to cure for that long just to be shure and considering in nail consturction you need to polish using various piles imediatly after curing....
So is not a big thing if residual stuff occurs, use a nail cleaner /acetone product and is done. If it works on the cheapest Uv resin available good enough, will certainly work on much better products dedicated for flytying with less espected leftovers