Ok well,considering what Mujahidah4Allah said,consider there interpretations generally....they might not even correspond to you at all,anyway,here goes:

According to the book we have here,if a dog is chasing you and you are able to get away from him,it means you will "win over an enemy".This could mean maybe,if someone in your life is trying to case you harm or trouble,their efforts will not prevail...

And also,it says,if the dog is barking at you,"You will have hardaches at work".

Btw,his book is in arabic so Im translating it in english.

Idk if these two interpretations mean anything to you,insh'allah it shed a bit of light on your situation...and remember,Allah(SWT) knows all,and he knows whats best for us,so du'ah is the best way to go(if you do indeed have troubles).

Insh'allah kheir sis,