I have built the following circuit both on a breadboard as well as Veroboard and both times when I power it up and apply a 1 KHz sine wave my output ends up very "noisy".
The resulting waveform still looks like a 1 KHz but zooming in using the oscilloscope shows a ~30 MHz sine wave imposed on it.
Another interesting thing is that when I probe the output of the function generator, that too has taken on this ~30 MHz oscillation. When the circuit is powered down however the output of the function generator looks like a clean sine wave. The filter was designed to have a lower cut off of 60 Hz and an upper cut off of 2.5 KHz. Simulating the filter shows that the frequency response is close enough for my purposes.