Funny you post this. The first full time job I had used a card punched time clock. Increments of 6 minutes (tenth of an hour). If you didn't get punched in on time you didn't get paid. There were 45-50 people using one clock. I clocked in a bit early every day because sometimes though there you couldn't get into the 6 minute window. I did immediately start my duties. Clocking out I sometimes was a tenth late as I was never going to clock out early.
After a few weeks, I was summoned by the accountant/payroll person. Dressed down for being sneaky about getting a little extra pay. I explained I simply intended never to be late, and they didn't have to pay me extra just pay me my 40 hrs. Oh, she just exploded about how the clock was the record and she couldn't not pay me. I didn't really know what to do. The oldest guy there, an employee since that company's first day, overheard her. He was my boss. He came in, and told her, "shut the F*** up. He is just trying to do a good job and penny pinchers like you will kill this company."
Later, she had a fit because I was using too many pens. My job required lots of writing. I was using TWO PENS PER MONTH. These were literally the 19 cent BIC pens. The same guy, after learning she told me to get by on one pen per month or bring my own wasn't happy with her. He went, took all the boxes of pens from her, and gave them to me to put in a lock box. Then told her when she or anyone in her office needed pens, to check them out from me. I didn't really want to be in on this. But for several months I was. The entire accounting department had to check out pens from me, the lowest paid employee with less than one year on the job.
My boss retired a year later. I had moved on by then. The MBA/accountant/payroll person then managed the company into bankruptcy 3 years after that.
So yes, time clocks can reduce trust I think.