Can’t find the book it’s in, not ‘The Amateur Scientist’, but from memory this arrangement should work after a fashion:
A drinking straw is pinned to a vertical board by a pin. The straw is held away from the vertical surface by a glass bead (Ladies have thousands of ’em).
The weight of the roughly horizontal straw is supported by a human hair, about 150mm long, the far end connected to the fixed pin.
As the length of the hair varies with humidity, the movement at the pointer-end of the straw is amplified by the lever action about the axle pin.
Longer the hair the better, but the biggest improvement would be to make a proper lightweight gear amplifier – a clock-making job. I vaguely remember it being recommended to slice off the pointer end of the straw to reduce weight.
By far the easiest way to measure Relative Humidity with an electronic sensor. RH depends on temperature and pressure, so these have to be measured first. The BME280 does both, and does most of the necessary maths. The main correction needed outside the sensor is your local air-pressure at sea-level, which varies with the weather. Accuracy about 4 times better than a good hair instrument.
Arduino instructions here.
Dave