THE ANSWER: YOU SHOULD ONLY LIST THAT JOB, IF IT'S GONNA HELP YOU GET ANOTHER JOB. (example: another call center that pays $4.00 more per hour is hiring, so you wanna naturally list your current job, but maybe XX-out the company name for reason explained below.)
What I'm saying is: There is no law or custom that says you need to list every job you've had on your resume. Think about it. Some older people have worked too many jobs to list them all. You don't even need to list your current job if you don't want to. The logic there is that you might not want to disclose your current job because your current employer could be contacted, for example, and might find out you are planning to leave them.
BOTTOM LINE IS THIS: A resume is an advertisement to get a potential employer to respond and offer you an interview. You should be truthful, but spin, spin, spin the information in the best way possible.
I used to list all my jobs in chronological order on my resume. I did this for two reasons. 1) I thought that's pretty much what one should be doing on a resume. 2) It helped me keep track of my work history (Now I do that separately).
In recent years I've had some more menial jobs just to make a buck and survive. I noticed that since I started listing those on my resume, my resume was generating far fewer job interviews than before. I HAD to take them off (say watcha want but it sure beats never ever getting a good job again!).
Once I removed those jobs, I realized I could remove some older jobs as well. Then that allowed me to reduce my resume from two pages to one very concise page. In a way, I could even argue that I HAD to not list some jobs because having a one page resume is much more effective than a two page resume.
Sure enough, today I replied to five job openings with my new one-page resume. After an hour, two employers had called me to offer interviews.
Wow! For me, that was an outstanding result!
Keep in mind, in these harried modern times, NO EMPLOYER HAS TIME TO READ YOUR RESUME IF IT'S LIKE A TOLSTOY NOVEL. Keep it really focused, concise and short (one page best, two pages max). I don't care WHAT industry you work in, NO ONE SHOULD HAVE A RESUME LONGER THAN TWO PAGES. Think of it this way, if you saw a commercial on TV that lasted for 3 minutes instead of 20 seconds, you would wanna throw a brick at the TV. DON'T BE THE PERSON WITH A RESUME THAT MAKES A POTENTIAL EMPLOYER WANNA THROW A BRICK AT YOU (or just throw your resume right in the trash).