Writing within constraints.

I have started to re-write a story to enter into a competition. There is a 4k words limit.  I have already cut this story down twice, and am still over 4k, and I am not finished writing it.  On one hand I hate constraints.  On the other, it has forced me to cut the story down to the grizzle, but such a evisceration, while befitting a horror story, might remove all life from its whittled corpse.