What does this sentence mean?

I think it means he never gives out anyone elses phone number, e-mail address etc. In other words ways to contact someone other than himself. He only gives out infornation about the ways he personally can be contacted.

I don't know, but i do have to admit it brought attention to his cover letter which is the point of having a cover letter on your resume..

Hmm, well if it's on a cover letter, and he has no references or past job details (other then what kind of work it is) then I'd say maybe so. Although, all the same, it seems a bit shady. I wouldn't want to hire anyone who couldn't give me a little bit of details, if nothing else the first name and contact number.

What was the job?

Well, it possibly very well could be exactly what she meant. It makes sense. I know if someone wants to call one of my friends, I have to tell them I will tell her to give them a call, cause I personally dont want to upset someone for giving out their information but come to think of it, we always have on references for anything, haven't we.

It means that he/she doesn't like to be contacted nor reach in any form.

He could give his own name, address, telephone number and email address. However he wouldn't give out the details of his two referees. I don't think that he will get the job because references are always taken up.

"I never give out contact information on anyone other than myself" Okay I can make the same assumption as the many above but for one it is poorly written if he is referring to references. Normally on a CV/Resume you would say at the near end that references available upon request. Or they say something like list of references attached. So for someone to write this line it seems strange but then I don't know what type of job this is although I should add that no matter what type of job it is, one would still want to professional write. So the bottom line it does sound like he will not issue any reference information, for which he will be out of luck as most employers require this and for one his references should have been contacted by him initially to ask if it was okay for him to do so.