I was looking at this simple pseudo-random generator for journaling:

https://www.teddit.net/r/rpg/comments/1hv5x0/paper_pencil_dice_simulator/

Just for a less disruptive option on the train or whatever, or a more comfy option in bed.

I gave myself the rule that I could always roll real dice when available and that I could regenerate the seeds when I had real dice, and that I could also use the second-hand watch thing occasionally; not as a replacement but to add some more entropy into the mix.

Regenerating the seed came in handy almost immediately since I rolled:

6 6 6 2
2 2 6 4

I would've never ever been able to roll an odd number. Not that parity matters for every game but if I can only roll 2, 4 or 6, I might as well roll a d3; granularity is getting too coarse.
I rolled those numbers top row first so I was getting freaked out by three sixes in a rown then three twos then another six and then splitting the diff.