So not that I assume these things are in their final implementation, but the gate map combined with the level cycling seems a bit off to me. I think this is really because I don't know the desired outcome.
So right now, when we go to the arcade and go to a gate it shows us the gate map. This is good for giving us a general idea of what levels are below and how far down it goes. This should absolutely stay intact.
Once in the clockworks we still have access to the gate map, it's just buried in the Menu drop down. Not only can we see the map, but we can see the levels as they cycle. As a result we get to pick which levels we go to at each depth by watching and... waiting. With the way the levels cycle it can be quite a while of just... waiting.
If the intention is that we shouldn't get to decide which levels we play in at each depth then the gate map under the Menu drop down should either be removed or modified so that it only shows the possible levels, rather than the routes.
If we should be able to decide what levels we play then I think having to wait, and maybe wait a while, isn't a great system. One solution would be to just let us pick, but the cycling of levels seems to be a major design point, and I like the thought behind it.
Another option would be to make them cycle much slower so that waiting isn't really feasible. I'll wait 10-15 minutes to choose a level that I want to go to (waiting isn't fun but some levels are much more desirable than others for various reasons) but I won't bother if I have to wait an hour (though maybe some people will).
It's also not really clear at first how they cycle, so it may seem deceptively fast for people who are just starting to use the gate map. This could lead to them getting frustrated as they wait for a level they think will be up soon, but isn't for a while.
Either way, I think the gate map (dynamic or not) should be more visible if it stays available at all. Maybe a hologram of your depth and the next depth on top of or next to the gates would be good. Currently I get really frustrated if I forget to look at the gate map before I step into the gate.
I like exploring, I don't get picky about where I end up.
My only gripe with the current system is that a lot of the maps will be the same as you go down, which will most likely be remedied by the time the game comes release.