A leakage could be :
Partially failed parts : ic's, transistors, capacitors
Surface conaminants like : solder residues, solder resins, solder flux
In multimeters, oscilloscope, rf equipemnts and many other sensitive instruments, a small leakage can cause many problems, all your electronic parts would be ok / brand new etc ... and you could still get wrong values (voltages, impedances etc ..)
I work on some Rf boards around 27 mhz, small flux residues on pcb give me lots of problems, the flux we use is very strong, if we left it uncleaned it can corrode some parts overtime, sometimes i have to clean the pcb's 2 or 3 times to be sure its devoid of any contaminants, we rince the board with specially treated / filtered water.
On the same board we use a relay, if the relay develop a resistance (or the leakage we talk) on the contacts on some tests points well see strange voltages values, they can't be calibrated nor compensated, we have discovered fake and counterfeit relays due to this behaviour.
@drummerdimitri thats why on a earlier thread post i wrote you to clean your board properly, if the meter has an very high input impedance on some range(s) it could be affected by residues / contaminants, a very small solder short etc...
And E-Design suggested the same thing ...