To get back to basics, I have found over the years that when I fly IFR in GA and need to do that holding and approach stuff in a minimally equipped bug smasher that a sweep second hand is vital. Just see where the second hand is and then your minute is up when it looks the same. As for 1:15, not hard to add a few degrees. I don't do digital really well in these situations coz I have to read them and think.
In the jets they have timers at the push of a button and the autopilot works - too easy, who needs a watch?
I have used el cheapo Casio or similar analogue watches with velcro bands which can be attached to the control column for easy reading and setting. You forget to take it when you sign off - so what, it's only worth $25 or so.
I do have a really excellent dress watch but only wear that when I'm going out properly dressed up, not to work.