Destroy it and create another one, see how it performs. I have several ones (both 4 CPU and 8 CPU) and I noticed that some perform better than others, so I use to destroy the bad ones and create new ones instead which I keep.
By the way, after creating the first cpuminer droplet I made an image of it, so whenever I want to launch another cpuminer droplet I just select the image to create a new one and can start to mining right away without having to set it up. Like this, it's easy to set up a new mining instance for any CPU coin in an instant. To create the image you have to temporarily shut down the server.
My best performing one at the moment:
[2014-01-02 04:56:37] accepted: 6/6 (100.00%), 724.78 khash/s (yay!!!)