Ultra low power voltage follower
The op-amp is suitable but not from a power rail of +/- 2.5 volts. The maximum supply voltage is 4 volts and better to run it from no more than 3.6 volts (or +/- 1.8 volts).


  The input source is a low frequency AC signal (less than 1khz) and no
  DC


Providing the signal is sinusoidal and less than 1 kHz then there should be no problem. The GBW product of the device is only 8 kHz and this means that if the signal were (say) a triangle wave at 1 kHz you would see distortion on the output due to attenuation and irregular phase shifting of harmonics.

In case there is a possibility of exceeding the input rails (either through bench testing or some other unexpected event) I would recommend figure 37 and the inclusion of a series resistor with the +in pin to prevent input currents exceeding 10 mA. A 1 kohm resistor would protect the circuit from a signal of 20 Vp-p.