Will this circuit work using BC 108 transistor
Virtually any transistor will work for this circuit. The most convenient choices are usually the 2N3904 and 2N2222 simply for availability. That said, you might have some trouble with TR1, because the biasing circuit design is somewhat sensitive to \$V_{BE}\$ and \$\beta\$ variation. Build the circuit, and if you have any trouble, try varying the values of R2, R3, and R4.