Do you know which online casinos offer one cent roulette (0.01c) these days?

Both RNG + Live.

This post is for information only -- definitely not as a recommendation.

http://www.1centroulette.com/en/index.html

Good luck with finding details about them.  Shrouded in secrecy and mystery.

The jurisdiction might be Costa Rica but it's hard to tell for sure.

Furthermore, the RNG used is not one of the usual offerings. Goodness knows what rigged, anti-winning-code might have been written into it.

The site offers no statements about  fair play, random control and the like.

Here is one Vic, I made a short vid so you can see what it's like. Plays fair according to some people I know who play there.

https://youtu.be/cnqwCxLLsWc

cheers

Of course you already know the BV casino, also Paddypower has the ''penny roulette" which is RNG from Playtech, their live wheels have a spread of 0.1 min and 200 max for any bet position.
There might be live wheels but all of them from studios, not real casinos.

The real issue for me is the duration for betting, from spin to spin there about 20 seconds to place your bets.
Unfortunately it's very difficult at the present time to find live wheels which provide more than 30 seconds per spin!

However, I've found the overall best option at Unibet live casino, they offer a plethora of live streams (B&M casinos and studios), you could even watch live shows and cabaret while you bet (specific days and time)! 
From 0.1 (line or less) up to 250 for live tables.

Thanks to Greek government's regulation I can no longer connect directly from my IP address, last time I've used VPN for 2 consecutive days but there were constant disconnections during the 2nd day, thus I've decided to withdraw but they've blocked my account.
On chat I've explained them my situation and they've unblocked me in order to withdraw, isn't it pity to have with them my account for years, no issues and so good casino overall but because of stupid policies not to be able to use any further my account?!
When I move abroad it'll be my 1st online choice.

Thank you for the insightful replies!

Yes, while you see the same patterns on RNG and Live (according to numbers covered & spins experienced) there's always the ghost of "possible manipulation" when you're not playing at a provably fair casino ( https://en.wikipedia.org/wiki/Provably_fair ) which is why I'd also like to ask what's the status on the 0.10 live tables with one (1) cent chip?

i.e. Live tables allowing 0.10 (ten cents) minimal bet while still having 0.01 (one cent) chip so you can play with -say- 0.17 but can't play 0.07.

If the method is good, it doesn't matter if you play it with $0.10, $1 or $100 as a betting unit. Your destiny is growing your bank