I use Howard Feed-N-Wax, uses beeswax and orange oil. Does a nice job of cleaning and polishing. Found it at Lowes.
Howard's is 40% mineral oil.If it gets below the finish ( dings,scratches,etc), it will contaminate the wood and lift the finish.
Use the cleaner of your choice, oil soap etc., with a soft bristled brush. I use old toothbrush, this gets down in the checkering, without damage, and gently scrub out the built up grime.I've got some Murphy's I'll try it the stocks are checkered. Thanks
Im an old cabinet maker/carpenter.Most of the products out there like this contain mineral oil,which gives that nice shine to furniture etc.The problem starts if there's a break in the finish,it soaks into the wood and the surrounding finish lifts.I just use a little soapy water and a soft brush then dry it quickly,then a good paste wax or renwax.