I agree with eparys - packing tape is super sticky to get those pesky thread bits, after you have clipped a couple threads you can just pull the thread out quickly and easily. Tweezers can also be helpful for some of the "I'm going to stay here forever" bits of thread. Put a good movie on and "pluck" away. lol. I think we've all been there, done that at least once in our sewing lifetime.