The Closer is a show which has a fairly realistic portrayal of a working environment; there are relationship dynamics which have evolved over the several seasons and which explore the inter-personal connections made between co-workers as they solve cases. From the beginning episodes where Brenda's staff worked against her, sometimes with the expressed desire for her to fail, to the latest season where they appear to be firmly on her "side" there is an interesting dynamic in showing an intelligent and capable woman as authority-figure and the gradual and sometimes reluctant acceptance of her as the officers she works with see for themselves what she is bringing to the dept.
The show brings a lot of elements of the classic mysteries, and uses clever reveals and intelligence as well as past personal experiences and leaps of intuition in solving crimes. The actors who make up the main cast are all very talented and the writing allows us glimpses into the entire cast, though the show is clearly focused on Brenda. Each episode also allows the viewer to see some of the personal drama without being heavy-handed or too soap-opera, keeping a good balance between the police investigation and the people who are doing the investigation.
I find it interesting, however, that most of the people I know who do not like the show are male and love similar stories where a male in the central authority and does the exact same things that Brenda does to close a case. For someone who likes police drama, with realistic characters who are not always perfect, this is an excellent show to watch. The episodes are well paced, the story lines through the seasons are detailed and have a lot of personal touches for the characters