This audio signal generator design is sold on eBay as a 1KHz Low Distortion Audio Range Oscillator. Preferred power supply is +/-15v although it will work down to +/-9v or less. At 15vDC it outputs up to 7vRMS. A 2K pot on the output is all that is required for variable amplitude.
It can be purchased as a kit or fully assembled. Performance is excellent with distortion <<0.01% and if fed from a regulated supply provides a very stable amplitude.