Covering the work (along with the light for warmth) should help avoid this problem.
Yes cover it with some visqueen (that plastic sheeting you use for a paint drop cloth). The visqueen does not stick to the resin and it helps keep the surface very smooth. The resin does not cure by drying out but through a chemical reaction so keeping it covered helps. And the reaction produces it's own heat so covering helps hold in some of the heat.
Are you using polyester or epoxy? I've used both and epoxy is better for many reasons.
1) Epoxy will stick well to polyester but the reverse is not
as true
2) Epoxy does not smell as bad or make me feel sick when I accidentally breath the vapors (wear a proper mask either way)
3) Epoxy will reach a hard cure state (not tacky) faster. The polyester resin will sometimes harden fast enough and then stay "sticky" for days. And I've noticed that the quality of the resin (how dark it is) varies a lot from batch to batch with the Bondo polyester resins.
4) Uncured epoxy washes off of your skin with white vinegar (keep a bottle handy), polyester is a sticky mess that seems to get on you and stay on you.
5) You can thicken epoxy with all sorts of things so it is easy to make a nice glue or fillet filling with it. Talc powder works as does graphite, saw dust and several commercial fillers. It is very versatile.
6) It is not as expensive if you buy it in larger quantities
Here for example
http://www.ebay.com/itm/230732090356?ssPageName=STRK:MEWAX:IT&_trksid=p3984.m1438.l2649
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