How to start or stop wiggle at specific time in After Effects?

Use time or frames to start i.e.:

frameToStart = 39;
if (timeToFrames() > frameToStart)
{ wiggle(2, 500);
} else {
value;
}

That starts at frame 39.

 

or

 

timeToStart = 1;
if (time > timeToStart)
{ wiggle(2, 500);
} else {
value;
}

 

that after 1st second.

Reference:

How To Start And Stop Wiggle In After Effects At Specific Time