Why this Op Amp LC oscillator doesn't oscillate outside the simulation?
The 4.7uH inductor is swamping out the 470uH. If you are expecting a 741 on +/-5V to oscillate at 156kHz, that may be a bit on the optimistic side, as the typical bandwidth is only about that much at +/-15 and gain of 10. You might manage a feeble oscillation if you increase R8. 

Try a better op-amp, or a lower frequency, by increasing the inductor value, not the capacitor value.