Add your olive oil and chicken thighs to a deep dish pan, and cook on your stove top on medium heat, until the chicken is almost cooked though.
As the chicken is cooking prepare your veggies.
To prepare leeks, chop top and bottom off about 1 inch, and slice the whole Leek into small rounds. Clean by it placing sliced Leeks into a bowl of water, and separate all the layers of the Leeks. The dirt likes to hide in-between the layers, and it will sink to the bottom of the bowl. Then rinse and add your sliced clean Leeks to your cooking Chicken Thighs.
Slice Mushrooms and add them to your Chicken Thighs as well.
Add all other ingredients to the chicken and veggies. Let it cook on the stove until the leeks have reduced, and chicken is completely cooked through.