Hi all,
wow I completely lost track on this topic, sorry for not answering earlier and thanks for all your replies, answers and suggestions, really appreciated.
The issue why I even went with something like 0.8 Ohms was because using 0.1 Ohm and the MAX4080T (20x Amplification) instead of the MAX4080F (5x Amplification) which I'm using with the 0.8 Ohm Shunt was because weird stuff happens with the control loop/the output voltage when using the 20x Amplification and the 0.1 Ohm Shunt (shown later in this post).
I have attached the schematic of the analog part/control loop. VREF is a MCP1541 and as you may already have noticed, this design is derived from Daves µSupply publications from years ago. Almost forgot: D2 and R4 are
not populated and R5 is 20k.
This design/my implementation is not particularly fast in terms of constant current mode but I'm ok with the performance and I wouldn't want to completely change the control loop and start from scratch, if possible.
So, like I said, when using the MAX4080F (5x Amp), no matter what current shunt I use (0.1R or 0.8R), all works fine in CC and CV mode. But when I put in a MAX4080T (20x Amp) + a 0.1R Shunt, as soon as the PSU switches to CC mode, I seems to have some kind of weird 50 Hz oscillation/noise which isn't there when using the MAX4080F.
My guess was, that maybe because of the higher amplification, the slopes of the MAX4080T output voltage are some kind of steeper, which then in turn somehow causes this issue.
Unfortunately control loop compensation and such is complete black magic for me, I wouldn't even know where to start. All control loop compensation in this circuit has been done by very smart people from this forum or from mikrocontroller.net (german forum).
I have attached some scope shots, this is how the output voltage looks like in CC and as well in CV mode (completely identical) when using the MAX4080F + 0.8R shunt:

This is how CV mode looks when using the MAX4080T + 0.1R shunt (obviously nothing special to see here, as we are in CV mode):

Well, and this is how CC mode looks when using the MAX4080T + 0.1R shunt:

This happens when I for example connect a 12R power resistor to the output, set the output voltage to 6V and the current to 1A and THEN lower the current limit to 400mA. As soon as CC mode kicks in, the output voltage looks like in the last scope shot.
Other than that, I'm really happy with the design and everything and if I can't get this to work with 0.1R and MAX4080T i will just stick with 5.6R + MAX4080F and maybe either put higher rated power restors in it or just lower the max output current spec a bit and everything will be fine.
However, it would be cool to get this working with 0.1R + MAX4080T, so any suggestions or hints where this weird crap on the output could be coming from would be very appreciated.
If you want to see the rest of the schematics, just let me know. Basically it is just an Atmega1284p, a 2004 LCD, some buttons, two mains transformers for 8VAC and 24VAC, a 7805 and a LM317T which makes fixed 27V. Oh and the MCP1541, of course.
If anyone wonders, this is how it looks like:

Thanks!
another edit: LOL i just realized that the commercial product DP832 has 1000µF of capacitance right at the output so in terms of that, my PSU should be an order of magnitude better
