One of the best mentors I ever had conceptualized from a dynamic framework, though he also had many "tools" in his toolbox.
This is what most psychodynamically-focused programs will teach you - how to conceptualize from a dynamic framework. Most graduates of these programs learn other subspecialties, such as DBT or CBT, in their externship training as T4C stated. Psychodynamic work is very interesting, but in order to truly do it well, you must go for a post-doctoral training at a reputable psychoanalytic institute like, NYU or William Alanson White's program (mentioning only NYC area) in order to become a true psychoanalyst.
That takes at least 5-7 years on top of your 5-7 years of clinical psychology PhD/PsyD training. A psychodynamically-oriented program will give you a solid base, but it's up to you to figure out what matches your interests, what population you want to work with and how to make yourself marketable for very competitive career (which is what all programs, regardless of orientation, will require of you).
So all you nay-sayers: Don't knock clinical psychologists who are also psychoanalysts, they've been hardcore studying the unconscious in themselves and others for at least 10-14 years - Could you imagine that? The thought of it makes me want to find a good couch to lay down on and start cathecting...
Good luck!
P.S. T4C, one of my favorite clinical neuropsychologist friends is from a psychodyamic program, she just kicked butt and got into all the best neuropsychology externships, an even better internship, and continued with a post-doc in neuropsych. So, to the OP, it really is what you make of it.