Something like this should work (though there will be no audible sound in the case of your data since it is just a straight line) -- note that the timeseries data is of the form
{{t1,a1},{t2,a2},...,{tn,an}}
rather than the reversed form that you gave.
So with this understanding and your date example one does
timeSeries = TimeSeries[
Transpose[{{0.0001, 0.0074, 0.0147, 0.0220, 0.0293, 0.0366, 0.0439,
0.0512}, {0.0006, 0.0407, 0.0808, 0.1210, 0.1611, 0.2013, 0.2415,
0.2816}}]
]
and then
ListPlay[timeSeries, SampleRate -> 1000]
Here is a different example with random amplitudes at random times:
times = Flatten[{0, Sort@RandomReal[{0, 5}, 100], 5}]
randomTS =
TimeSeries@
Table[{times[[i]], 10 RandomReal[{-1, 1}]}, {i, 1, Length[times]}]
ListPlay[randomTS, SampleRate -> 8000]