Sauted leeks in a white wine, butter and lemon sauce

I have never cooked leeks before but god damnit I am kicking myself for it. All these years I could have been having leeky goodness in my mouth, well I am going to make up for it. Still, I digress recipe is as follows

• White wine, left overs from a fiancee will do in a pinch
• butter, i think i used a quarter a stick
• rice
• chicken broth
• half a lemon

From my limited experience with leeks I learned a valuable lession, they are a bitch to clean. So what i did, and would love to discover a better method, is to cut the leeks in to little disks. Threw the disks in a collander and run under cold water. Then I laboriously rifled through the little bastards making sure all the mud and god knows what else is in farm soil was washed off, or at least to the point where I could in good conscious serve the food, shhhhh. So with my leeks and potentially goat placenta I threw it into a skillet the white wine, the butter and the other half of the lemon from the previous entry, set the burner to medium high. If I had more white wine, ahem Eva!, I would have cooked the leeks longer and on a higher temperature. But since she did buy the wine, I couldnt argue. Cook a cup of rice with chicken broth. Serve the orgasmic rings of green deliciousness on top a bed of rice and pour the white wine sauce on top. Presto changeo delicious.