Compressing a rim?
 

How easy is it to squeeze a rim when applying brake pressure, and actually causing to then give a bit of warped feedback when you use them later?

When I was attaching the brake cable on my front brakes, I compressed the brake fairly good to make sure the cable wouldn't slip. After riding a while, I noticed that there is a small spot that seems to be giving some feedback in the caliper as the wheels rotates.

I wonder if it will slowly go away as I break in the pads and use the brakes for a while?

Just curious if anyone else has done this before, or if this is possible.

Most likely the spot on the rim that you are referring to is where the extrusion was joined together in order to form a hoop. On the highest quality rims that spot is welded and machined and all-but-invisible. On cheap rims the joint is just pinned and can be very visible. I don't think that you could make an imperfection like that happen by squeezing a handbrake.

just curious, as they are machined, and I cannot visibly see any deformation while it is rotating, so it is extremely small.