I keep a small 20x magnifying mirror loose on the deck below my cartridge, no need to remove the headshell or cartridge or stylus. The arm remains locked in the rest, you simply rotate/tilt the mirror this way and that for any view
I just found this diagram indicating distance/magnifying power, my stylus tip is 2" above the mirror when at rest.
for $10, I am going to try this 30x one with built in light
30x Magnifying Mirror, 4" dia, with light
You don’t need or want the suction cups, you pick up one edge, angle it about this way and that, seeing the cantilever and stylus easily. In my case, I just move it below whichever cartridge I am checking.
Now, I have a nearby light fixture, and I bounce the light down onto the mirror and it reflects under the cartridge. This new one with it’s built in and dimmable light might work, might not.
Scissors as a bonus
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Brush, or Stylus Cleaning Fluid: I lift the arm up higher out of the rest, and can see magnified in the mirror the brush/cartridge/cantilever/stylus as I approach and draw rear to front.