When you dream about cleaning, it is generally about cleansing your life of some negativity or overcoming an obstacle. If there was someone with you in the dream, perhaps this person has created this barrier or is the negative influence in your life. You may have decided to dial back your relationship with this person. Maybe you are trying to tackle something together as a team in you waking life.
You could also be moving into a phase of your life on your own or with family. This might require you to get out of your old habits and ways to improve things for you or your situation.
If you were focusing your cleaning on a specific object, this could be a representation of a part of yourself that isn't working as well as you would like it to either mentally or physically. It can also mean that you fear you are stuck in a rut or in a situation and can't escape it.
You may also be seeking a fresh approach to a situation in your waking life that you know will get messy but you're willing to go through the rough with the smooth to reach your goal.
The Complete A-Z Dictionary of Dreams by Ian Wallace
Tagged in Dream Interpretation