Are women "biologically programmed" to want to clean?

This is a very good question. Regrettably, I don't have source references, but there is a body of literature which confirms that women do have better organizational skills in certain areas. So, whether this translates to a greater proclivity for "cleanliness" or order is possible, however, the data is rather "soft," but it's within the realm of possibity that there is an underlying substrate for this behaviour.