Early hours of the morning
While I was working in the support center of one of the major IT suppliers, I was awakened by the pager in the small hours of the morning.
When responding to the call center, the operative said "I hope you don't mind, but the customer has asked who was on standby before they placed the call". Obviously, the customer had different opinions about the people who were on the standby rota. Apparently, I had passed their vetting, and I called them up.
I then spent about 20 minutes listening to the details of the problem, interspersing a few appropriate noises. At the end of this, the customer said "OK, I think I know what I need to do now".
I said, "But I've not given you any help or assistance", to which she replied "No, but you let me describe the problem to someone who would understand it, which has allowed me to think it through".
I said that I would be available if she needed to call me again, and she thanked me, and hung up. I did not hear from her again that night, so her solution must have worked. Easiest call-out I ever had.
I came across her again several years later after I had started contracting. Apparently, my CV passed across her desk for a role they were trying to recruit, and she remembered me (not just form the call described above, but from other support calls). I got a rather bemused agent on the phone, who said that she's called them unprompted to say that the role was mine if I wanted it, without any interview, and at the highest rate he'd been told to recruit at.
Unfortunately, it was London based, and I was not looking a role in the Capital. Still, it's nice to be appreciated sometimes.