Check for offset voltages on the op-amps. Check that the + and - inputs are where they oughtta be. If they drift up or down, check for the bias current sink (R50) being open. Of course, the tank coil should be in parallel with it. Or check for oscillation. Maybe the op-amp is oscillating madly. Both power supply rails there? Maybe one power supply rail is missing off that op-amp? 40dB of gain is probably right from a reverb tank. The signal off the pickup end isn't exactly huge. Check for zero DC volts at the end of R47. When it dies, check the signal voltage there, possibly the output is doing something funny and hitting the tank fixes it up.
For an op-amp circuit, I always measure +in, -in, and out to ensure that voltages make sense. + and - should be the same. You can fix a lot of analogue stuff even without a schematic if you follow that guideline. Also, check C32 for open.
If IC3's + and - inputs diverge, but the output does not rail right away, it's toast. I might suspect that IC3 might have suffered ESD damage given that the gate of its internal FET is nekkid.