One tablespoon of oil is not going to clog your sink. Have the water running. I spit it into the sink with the garbage disposal. I spray with H202 when I'm done. Never had one clog, really.
In a reading by Ayurvedics they say to go outside, dig a hole and bury it in mud. Sounds a bit intense to do in the morning, in my PJ's, in my fluffy slippers, in the dark, in the cold....It might make the neighbors mighty curious though. Hmmm, I love to mess with my neighbors.....