I can’t think of any way to make the Wiggle Transform loop. You could apply this to the built-in shape specific Transform for Position to get a looping wiggle for x only:
freq = 1;
amp = 110;
loopTime = 3;
t = time % loopTime;
wiggle1 = wiggle(freq, amp, 1, 0.5, t);
wiggle2 = wiggle(freq, amp, 1, 0.5, t - loopTime);
w = linear(t, 0, loopTime, wiggle1, wiggle2);
[w[0],value[1]]