Why do I need more training? I feel that I have enough education to do the job I have.

That may be true for you and knowing your current job well enough without getting more training is acceptable.
But, what if your company decides to change systems or procedures or hires a new management over you? What if they decide to eliminate some jobs? What if you have to go out into the market again to look for a new job? Your current training should always be equal to (or above equal) to what's being done in the current job market.

•  Have you kept track of the market for your kind of work?
•  What if you are forced out of your job and have to go into a completely new industry?
•  Will your skills and experience allow you to cross over?

You need to think about what your future risks are. Suppose your potential next employer wants you to have more computer skills, or more customer service training or more communications skills. Certificates or a degree? Will you be prepared?
CWW Career-Wise Ways is about personal growth – for life, for work and especially for career. Everyone should have some bounce-back-ability plans in mind. We refer to them as Coping Strategies or a Career Business Plan (CBP). When your re-invention absolutely has to happen, you are able to pick yourself up from the remains of your situation and move forward in your growth.

I already have a job. How do I go about looking for another one, while still working the current job?

Very discreetly.
First you need to be clear in your thinking about why you want to change jobs. If you still think you want to look for another job, then your behavior has to be modified so as not to jeopardize your current job situation while you get ready to start marketing yourself to potential new employers.
It's very important to look closely at how you interact in your relationships. Do you really want to broadcast to the world on social networks that you are looking for a job? Imagine that if you are online and posting personal information about yourself, people on your job are reading about your adventures and desires. Do you really want to out activity that should remain private until you are ready to share it with the world?
You will need to figure out how to start toning down or backing out of sharing so much info about yourself. If you are used to dressing grungy or overly casual and suddenly you start to dress more corporate or fittingly or creatively for your potential new job, you are going to cause some talk and suspicion.
Also as you network around and add names of recruiters and head hunters to your call list, some assumptions are going to be made by everyone who knows you.
The best thing to do is to work with a mentor of your choice who will back you up in your efforts or slap you down, when you feel too full of yourself. Once your mentor(s) are in place and you have their trust and vice versa, you can start reinventing yourself, beefing up your resume and making contact with individuals who will help you work through your career growth.

What is the difference between a workshop and a clinic?

This is a good question and I agree that it can be confusing as applied to the CWW universe. Webster defines a workshop as "a brief intensive educational program for a small group of people that focuses techniques and skills in a particular field", and a clinic as, "a meeting devoted to the analysis and solution of concrete problems or to the acquiring of specific skills."
When I decided to use "clinic" to describe CWW interactions, I was discouraged by a few supporters. But the word electrified me and kept reappearing in my visions for areas of CWW growth that could be stimulated and enhanced. Individuals bring their existing resumes, talents, forgotten accomplishments and untapped skills to work through their CWW process.
I use clinic and workshop interchangeably and relate a CWW clinic to the individual need and a CWW workshop to a group need.
The CWW site is being re-launched to allow individuals to self-help themselves with the self-assessments offered. An individual can do a brief personal clinic of choice in the privacy of his or her own space. And when he or she has outgrown private use, they can join group forums where they can meet others who are developing their careers