Hi Mitch and welcome.
Power supply or battery powered?
Before you start replacing chips or anything, check that your power supply is not the issue. If you don't have an on-board battery, just hook one up temporarily and see if the oscillation goes away.
The other cause might be your wiring. Move some of the wires around - especially the power wires while it is plugged in and see if things get better or worse.
Then let us know what happens.