A lot of people have access to a DC voltage source (such as a battery) and a DMM, but not a constant current supply. They could also perform this measurement using a shunt resistor.
First, choose a resistor that will be able to dissipate the heat generated according to Power=I^2*R. The current that flows through the resistor can be estimated given the battery drive voltage (under load - so if measuring Vbatt open circuit remember it will drop under load). You will of course have to dissipate much less power with less current so choose a low voltage source such as a NimH. Don't forget to check out the current capacity for your chosen battery (CPF has info on this!)
Assuming your switch has a resistance less than one Ohm (I will assume 0.1 Ohms as a "worst case" in terms of allowing higher current flow) and you have access to a resistor with a value of 1 Ohm that can dissipate about 5W, then a circuit with the switch in series with the 1 Ohm resistor driven by a 1.2V battery will allow about 1.2=I*(1+.1) or I=1.09 Amps to flow. (Remember to make sure the battery can supply this!) From P=I^2*R the shunt resistor will dissipate about 1.09W in this case.
Once you have determined it will be safe (you will not exceed the resistor specifications), connect the circuit and measure the voltage drop across the resistor (the difference in voltage from one side of the resistor to the other while current is flowing) to calculate a more accurate value for the current, again from V=IR. Let's say you measure 0.92V and you therefore calculate you have a current of 0.92 Amps. (For the curious I assumed the switch resistance in this example and a battery voltage of 1.1V under load)
Now, with the circuit still connected, measure the voltage drop across the switch of interest. Plug that voltage into V=IR with the current you just calculated to get your switch resistance. Let's say you measure 0.184V across the switch, then at 0.92 Amps your switch has a resistance of 0.2 Ohms. Remember that a switch is an Ohmic device, and as such it will exhibit a slightly higher resistance at higher current levels.
It is possible to determine the amount of error in your measurement given the error in the resistor value (stated on the resistor or in the specifications) and the error in your DMM readings of the voltage drops. That is beyond the scope of this discussion, but the point is that you can get a pretty good idea of your switch resistance this way even if you lack a fancy 4-point DMM that can measure very accurately at low resistances (in which case you would probably have access to a constant current power supply anyway!)
I hope I don't just generate a lot of :huh2: with this posting...