I don't do many clicker games, especially outside of jams, so some of my feedback may just be because I don't normally play these. The basic red area and shop seem like a decent clicker game. I wasn't always sure what to do on the other levels.
The UI could use some work, and more consistency between areas. The first issue is text obscured by other elements, especially the Save/Load/Cloud buttons. The title of the World Map is covered by the buttons, and the Cloud button is missing. Pressing the Save button has text show that is hard to read due to partially being under the save button itself and overlapping with the click count, and right side buttons/shop panel. For the red zone clicker section, the text looks like it would be better at the bottom. Another option would be to raise the text to show above everything else, and have a background to make it easy to read, especially since it is only shown for a short time.
On the topic of the save, it says that it copied something to the clipboard, but my browser console showed an error that it blocked access to the clipboard. You may want to add a way for people to manually copy the code. Pressing load did work without it.
The top right button slides out a panel that looks like a shop (though the 4th is called the Shop), and the button changes to an X to close. This is decent for the shop that you will use a lot while clicking. When you click on the next button it pops up a new screen, and there is no X to close. It took me a minute to realize that I had to click back on the red zone I was already in to leave the screen. The Achievements have the X again, but it blends in with the title and does not look like a button here (ie no border of background). I'd give it a bit more space away from the title, and style it like a button. The Shop screen from the 4th button again has the X alone, though the title is shorter and it is clearer with the extra space.
The currency icon of the 4th button's Shop looked a bit too much like a 0 and it took me a bit to acknowledge it was meant to be a currency symbol. Part of that likely comes from the spacing and positioning. If you moved it to the left side and gave it a bit more space it might help.
It took me a bit to figure out what CPC and CPS meant, so adding tool tips on hover would be nice for those like me who don't do a lot of these. It would also be nice if your current CPC and CPS counts were shown somewhere.
On the Achievements screen the items on the left could scroll off screen. When I was not in full screen I could not get them back as the browser window scrolled instead. They also scrolled opposite of what I expected.
It would be nice if there were some details on the different zones.
The blue zone seems to have the clicker button move to where you click and collect falling things as clicks. There are circles and Xs, but I'm not sure if the Xs do anything different.
The yellow zone has what look like 3 arrows. When the mouse didn't work I used the left right and up arrows. Left and right moved the circle, but up did nothing. Only after reading your devlog and seeing the comment about killing the monsters did I go back and try other buttons to find that Space shoots. It would be good if you changed it so that the up arrow also shoots, or make it more clear that space is used to fire.
The purple zone is confusing. Clicking the circle generates random targets and the cursor is a target. If you click on/near the purple targets nothing happens, until you click the circle to regenerate them, in which case you seem to get some click currency. I'm not sure it you get more based on the number of clicks or your accuracy, as I did not test that thoroughly. Also, many of the targets appear under UI elements.
The green zone shows 3 shapes that you can click on and they change color. Based on the previous zone I tried clicking on them and then the center button. That regenerated the shapes. I'm not sure exactly how this level works as I ran into issues regenerating the shapes. The center button did not always respond to being clicked, even after the others were clicked. The shapes also appeared under, and over, other shapes, including the center button.
I'm not sure how the cyan zone works. I see you can click either side to affect the numbers, but I'm not sure how it affects the score. By the time I was paying attention there I had such high clicks that it was hard to know what was happening.
You have a nice selection of additional things beyond just clicking, and have the auto-clicker/auto clicks per second to help people take a break and still build currency, which is nice. I think the biggest issue you need to work on is the UI and lack of instructions.