It looks like to me the size of the Tribble is the issue here. That black area around that character is the Tribble. I believe it should be smaller in size and not encompass your toon :S
A little bit better description in the OP would be helpful. Basically, every time your bridge office pets a tribble, it gets a little bigger. They don't dissapear back into a pocket or anything, and keep growing. Thankfully, it goes away when the officer enters combat.