[Jim11]

I don't like to know what time it is when it isn't necessary, because I have some of the same problems you do.

At work I disabled my computer clock, and I just use the one on my phone that I can only read if I focus in on it.

At home I don't have clocks in the areas where I read, watch tv, etc. Kitchen clock, alarm clock, I can check the tv if I want.. small clock in the living room, etc

I don't think there's a problem with getting rid of your watch, computer clock, etc. Just have something accessible for when you need to know what time it is.

I set reminders on my computer that tell me that I need to do something sometimes, so I don't have to keep checking in.

Ask yourself the questions:
am I working on the item that is my number 1 priority right now?
do I need to know the time for any reason in the next little while?

If you answer yes to what you're working on, and no to needing the clock, then you need to stop worrying about how long it's taking and it should be completely fine if you have no clocks visible. Self-pressures like these always used to annoy me, because you would think they are the easiest to get rid of, but they aren't always.