A flexural element!
A few thoughts:
(1) There might be some better options for your screw pattern. Checkout yours (left) versus mine (right):
Spacing the screws further apart gives them more leverage against the PCB rotating. This, along with the thicker (XY axis) sections of PCB material left may help avoid creeping and cracking.
Additionally: your electrical pads are in a bad position. If you imagine that your two screws are approximately one screw (because they are so close together): your PCB will rotate around them like a pivot. This will then put stress on the soldered electrical pads.
(2) You might need to control the PCB's vertical position (Z axis). It might want to rise up off the main board.
(3) Not all of the dimensions in your flexural arms are a tradeoff.Thickness: thinner is more flexible, but harder to manufacture. Thicker or thinner may make them easier to break (there are multiple directions of stress and strain, it's complicated).
Length: longer is always better. It reduces the stress and strain in any one element.
To make the arms longer without needing more space: you can make them meander or curve. Checkout
my 3d printed flexural element to see what I mean.
(3.5) EDIT: Your first image shows overcutting in the corners of the arms. This will focus all of the stress and strain in the thin corner bits of the arms. You probably don't want to do this, it would be better for the whole length of the arm to equally share the strain so that overall strain levels are lower. Your second image is better.
(4) Your wire-paths are suboptimal for noise suppression. The hole in your flexture is currently the centre of a big wiring loop. You probably want to put both the traces on the same arm, so that they are close together.
(5) "creep" and "plastic deformation" can appear later (days, weeks, months) and ruin your day. Reducing the stress and strain in the flexible elements will help avoid this (you want them to remain in the "elastic region" of stress and strain) but this is a whole other rabbit hole if you don't have detailed material properties from the PCB maker.
Instead it will probably be easier just to glue the element down once it has been adjusted. Make sure to use a hard glue (not a flexible one), some epoxies might work but others not.
(6) You will need to prototype and test iteratively, so PCBs might be an annoying material to work with if you have to wait a week or two for each revision. If you have access to 3d printers: a 3d printed carrier for the PCB may make things a lot easier (and as a bonus: it can provide anchor points for the screws too). I would use a ribbon cable to connect the little pcb to the mainboard so that you don't have to worry about stress on electrical connectors.