measuring values in and around the range of 0.01 to 0.1 uH?
they are generally difficult to measure due to stray capacitance / inductance.
one approach is to find its oscillation frequency. two ways:
1) build a tank / oscillator around it and measure the frequency output; a grid dip meter could be useful here as well.
2) drive the dut + variable capacitor with a fixed oscillator (a crystal oscillator for example).
edit: I thought i would expand on the 2nd approach, since there seems to be some interests in it.
essentially, you want to drive a l/c tank with a source of known frequency, taking advantage of the fact that at resonance, the current through the tank is the least - the same as you would see in a grid dip meter.
conceptually, here is how it works:
L1 is our DUT, C1 is our variable capacitor, and R1 is the current sampling resistor. V1 is the oscillator. The chart shows the current through R1, which reaches its lowest at resonance frequency of 16Mhz.
there are a few ways to implement this:
1) oscillator: it could be a regular crystal oscillator, or a signal generator, or a divider / counter like 4060 - which is what I used;
2) R1: you can put a scope across it; or a RF meter, or a regulator uammeter + diodes.
3) L1/C1: one of this should be calibrated and then other is the DUT.
4) L1 alone: if there is just L1, no C1, you can couple L1 to any L/C tank (like an RF reader) and this would be a single frequency grid dip meter.
all sorts of ways to do it.