After squeezing the trigger of your caulking gun, you think that's the end of that. But you lay the gun down and a slow trickle of caulk emerges.
This is because the tube has bowed with the pressure of squeezing out the caulk. When you let go of the trigger, the bowed-out tube keeps pushing the caulk out.
Slow down the trickle of caulk by tightly wrapping the tube with duct tape before inserting the tube in the caulking gun. This will not completely stop the trickle, but should cut it down quite a bit.